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Qi, Zhi

On the Symmetric Square Large Sieve for \(\mathrm{PSL}_2 (\mathbb{Z} {[i]}) \backslash \mathrm{PSL}_2 (\mathbb{C}) \) and the Prime Geodesic Theorem for \( \mathrm{PSL}_2 (\mathbb{Z} {[i]}) \backslash \mathbb{H}^3 \). arXiv:2407.17959

Preprint, arXiv:2407.17959 [math.NT] (2024).

MSC: 11F30 11F72

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Qi, Zhi

On the Twisted Spectral Large Sieve Inequality for \(\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})\). arXiv:2407.17711

Preprint, arXiv:2407.17711 [math.NT] (2024).

MSC: 11F30 11F72 33C10

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Bhakta, Subham; Krishnamoorthy, Srilakshmi

Watkins’s conjecture for elliptic curves with a rational torsion. arXiv:2407.17680

Preprint, arXiv:2407.17680 [math.NT] (2024).

MSC: 11F30 11L07 11F52 11F80

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Das, Soumya

Fourier coefficients and cuspidality of modular forms: a new approach. arXiv:2407.15222

Preprint, arXiv:2407.15222 [math.NT] (2024).

MSC: 11F30 11F46 11F50

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Herrero, Sebastián; Imamoglu, Özlem; von Pippich, Anna-Maria; Schwagenscheidt, Markus

Twisted traces of modular functions on hyperbolic \(3\)-space. arXiv:2407.01368

Preprint, arXiv:2407.01368 [math.NT] (2024).

MSC: 11F55 11F37 11F30

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Bordignon, Matteo; Cherubini, Giacomo

Coprime-Universal Quadratic Forms. arXiv:2406.01533

Preprint, arXiv:2406.01533 [math.NT] (2024).

MSC: 11E20 11E25 11E45 11F30 11F66

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Clayton, Archer; Jenkins, Paul

The effect of the trace operator on the duality of modular grids in genus zero levels. arXiv:2406.00173

Preprint, arXiv:2406.00173 [math.NT] (2024).

MSC: 11F30 11F37

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Jääsaari, Jesse

\(\Omega\)-Results for Exponential Sums Related to Maass Cusp Forms for \(\mathrm{SL}_3(\mathbb Z)\). arXiv:2405.17340

Preprint, arXiv:2405.17340 [math.NT] (2024).

MSC: 11F30 11L07

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Leung, Sun-Kai

A central limit theorem for coefficients of L-functions in short intervals. arXiv:2405.14834

Preprint, arXiv:2405.14834 [math.NT] (2024).

MSC: 11F30 60F05

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Li, Jialin; Wang, Haowu

Sums of four polygonal numbers: precise formulas. arXiv:2405.14710

Preprint, arXiv:2405.14710 [math.NT] (2024).

MSC: 11E25 11F50 11F30 11D85

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de Faveri, Alexandre; Shem-Tov, Zvi

Non-escape of mass for arithmetic quantum limits on hyperbolic \(4\)-manifolds. arXiv:2405.04221

Preprint, arXiv:2405.04221 [math.NT] (2024).

MSC: 11F30 11F60 37A44 81Q50 58J51

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Frechette, Claire; Gerbelli-Gauthier, Mathilde; Hamieh, Alia; Tanabe, Naomi

A Note on Large Sums of Divisor-Bounded Multiplicative Functions. arXiv:2405.00658

Preprint, arXiv:2405.00658 [math.NT] (2024).

MSC: 11F30 11F11 11F12 11M41

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Hilado, Anton; McGlade, Finn; Yan, Pan

Fourier Coefficients and Algebraic Cusp Forms on \(\mathrm{U}(2,n)\). arXiv:2404.17743

Preprint, arXiv:2404.17743 [math.NT] (2024).

MSC: 11F30

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Qi, Zhi

On the Spectral Large Sieve Inequality for \(\mathrm{PGL}_2 (\mathbb{Z}[i]) \backslash \mathrm{PGL}_2 (\mathbb{C})\). arXiv:2404.09085

Preprint, arXiv:2404.09085 [math.NT] (2024).

MSC: 11F30 11F72 33C10

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Wang, Youjun

On certain kernel functions and shifted convolution sums of Hecke eigenvalues. arXiv:2404.05313

Preprint, arXiv:2404.05313 [math.NT] (2024).

MSC: 11F11 11F30 11F66

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Beckwith, Olivia; Mono, Andreas

A modular framework of generalized Hurwitz class numbers. arXiv:2403.17829

Preprint, arXiv:2403.17829 [math.NT] (2024).

MSC: 11F37 11F12 11F30

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Dunn, Alexander

Metaplectic cusp forms and the large sieve. arXiv:2403.13151

Preprint, arXiv:2403.13151 [math.NT] (2024).

MSC: 11F27 11F30 11L05 11L20 11N36

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Cho, Sungmun; Kang, Taeyeoup

On the Siegel series in terms of lattice counting. arXiv:2403.12476

Preprint, arXiv:2403.12476 [math.NT] (2024).

MSC: 11E08 11E45 11F30 11E95

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Kina, Katsumi

Double Eisenstein series and modular forms of level \(4\). arXiv:2403.06917

Preprint, arXiv:2403.06917 [math.NT] (2024).

MSC: 11F32 11F11 11F30

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He, Qiao; Shi, Yousheng; Yang, Tonghai

Pullback of arithmetic theta series and its modularity for unitary Shimura curves. arXiv:2403.04566

Preprint, arXiv:2403.04566 [math.NT] (2024).

MSC: 11G15 11F11 11F30

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Schmieding, Scott; Simon, Christopher-Lloyd

Geometry and Transcendence of the Hexponential. arXiv:2402.17628

Preprint, arXiv:2402.17628 [math.NT] (2024).

MSC: 30F35 11A55 37B10 11F06 11F20 11F30 11L05 11L07 11J06

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Lutsko, Christopher

Average variance bounds for integer points on the sphere. arXiv:2402.12822

Preprint, arXiv:2402.12822 [math.NT] (2024).

MSC: 11E16 11F30

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Gun, Sanoli; Naik, Sunil L

On Hecke eigenvalues of Ikeda lifts. arXiv:2402.06145

Preprint, arXiv:2402.06145 [math.NT] (2024).

MSC: 11F11 11F30 11F46 11N56 11B65

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Pandey, Manish Kumar; vaishya, Lalit

First moment of Hecke eigenvalues at the integers represented by binary quadratic forms. arXiv:2401.18055

Preprint, arXiv:2401.18055 [math.NT] (2024).

MSC: 11F30 11F11 11M06 11N37

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Burrin, Claire; Gröbner, Matthias

Rational points on ellipsoids and modular forms. arXiv:2401.18008

Preprint, arXiv:2401.18008 [math.NT] (2024).

MSC: 11F12 11F30 11E25

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Studnia, Elie

On obstructions to the Euler system method for Rankin-Selberg convolutions. arXiv:2401.17769

Preprint, arXiv:2401.17769 [math.NT] (2024).

MSC: 11F80 11F11 11F30 11R32

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Johnson-Leung, Jennifer; McGlade, Finn; Negrini, Isabella; Pollack, Aaron; Roy, Manami

The quaternionic Maass Spezialschar on split \(\mathrm{SO}(8)\). arXiv:2401.15277

Preprint, arXiv:2401.15277 [math.NT] (2024).

MSC: 11F55 11F30 11F67

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Fresan, Javier

The unbounded denominators conjecture [after F. Calegari, V. Dimitrov, and Y. Tang]. (La conjecture des dénominateurs non bornés [d’après F. Calegari, V. Dimitrov, and Y. Tang].) (English) Zbl 1534.11057

Séminaire Bourbaki. Volume 2021/2022. Exposés 1197–1210. Paris: Société Mathématique de France (SMF). Astérisque 446, 1-27, Exp. No. 1197 (2023).

MSC: 11F11 11F30 14G99 20H05 30D35 30F35 33C05

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Sharma, Anubhav; Sankaranarayanan, Ayyadurai

On a general divisor problem related to a certain Dedekind zeta-function over a specific sequence of positive integers. (English) Zbl 1532.11057

Hardy-Ramanujan J. 46, 23-41 (2023).

MSC: 11F30 11R42

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Kohnen, Winfried; Luca, Florian

On certain partial sums involving squares of Hecke eigenvalues. (English) Zbl 07809567

Hardy-Ramanujan J. 46, 1-5 (2023).

Reviewer: David Lowry-Duda (Providence)

MSC: 11F30 11F11

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Paul, Biplab; Saha, Abhishek

On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of degree 2. (English) Zbl 1534.11073

Int. Math. Res. Not. 2023, No. 24, 21707-21760 (2023).

MSC: 11F46 11F30

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Balakrishnan, Jennifer S.; Craig, William; Ono, Ken; Tsai, Wei-Lun

Corrigendum to: “Variants of Lehmer’s speculation for newforms”. (English) Zbl 1539.11068

Adv. Math. 435, Part A, Article ID 109347, 2 p. (2023).

MSC: 11F11 11D61 11F30 11B39 11J86

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Zenz, Peter

Sharp bound for the fourth moment of holomorphic Hecke cusp forms. (English) Zbl 07794862

Int. Math. Res. Not. 2023, No. 16, 13562-13600 (2023).

MSC: 11F37 11F30 11M06

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Hua, Guodong

On the simultaneous sign changes of coefficients of Rankin-Selberg \(L\)-functions over a certain integral binary quadratic form. (English) Zbl 07794427

Math. Pannonica (N.S.) 29, No. 2, 244-257 (2023).

Reviewer: Andrzej Dąbrowski (Szczecin)

MSC: 11F11 11F30 11N37

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Blomer, Valentin; Michel, Philippe

The unipotent mixing conjecture. (English) Zbl 07793420

J. Anal. Math. 151, No. 1, 25-57 (2023).

Reviewer: Sami Omar (Sukhair)

MSC: 11F66 11F70 11F80 11F30 37A17

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Kohnen, Winfried; Schulze-Pillot, Rainer

Fourier coefficients of Siegel cusp forms and genera of quadratic forms. (English) Zbl 07791436

Acta Arith. 211, No. 4, 363-368 (2023).

Reviewer: Emmanuel Royer (Montréal)

MSC: 11F46 11F30

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Hou, Fei

The exponential sums related to cusp forms in the level aspect. (English) Zbl 1534.11059

Funct. Approximatio, Comment. Math. 69, No. 2, 193-218 (2023).

MSC: 11F11 11F30 11L07

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Ramos, João P. G.; Sousa, Mateus

Perturbed interpolation formulae and applications. (English) Zbl 1537.41001

Anal. PDE 16, No. 10, 2327-2384 (2023).

Reviewer: Marcel G. de Bruin (Heemstede)

MSC: 41A05 42A38 46E39 11F30

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Bruggeman, Roelof W.; Miatello, Roberto J.

Representations of \(\mathrm{SU}(2,1)\) in Fourier term modules. (English) Zbl 07784628

Lecture Notes in Mathematics 2340. Cham: Springer (ISBN 978-3-031-43191-3/pbk; 978-3-031-43192-0/ebook). xi, 210 p. (2023).

Reviewer: Audrey A. Terras (La Jolla)

MSC: 11-02 11F30 11F11 11F03 11F06

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Hua, Guodong

The three-dimensional divisor problems related to cusp form coefficients. (English) Zbl 1540.11035

Rocky Mt. J. Math. 53, No. 6, 1847-1863 (2023).

Reviewer: İlker İnam (Bilecik)

MSC: 11F11 11F30

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Hou, Yanjie; Yan, Xiaofei; Zhang, Deyu

On higher moments of Hecke eigenvalues for the congruence group. (English) Zbl 07784577

Rocky Mt. J. Math. 53, No. 6, 1833-1845 (2023).

MSC: 11F30 11N37

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Hua, Guodong; Chen, Bin; Pan, Lijing; Chen, Xiaofang

On higher moments of Dirichlet coefficients attached to symmetric square \(L\)-functions over certain sparse sequence. (English) Zbl 1533.11086

Rend. Circ. Mat. Palermo (2) 72, No. 8, 4195-4208 (2023).

MSC: 11F30 11F66 11F11

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Magnusson, Tobias; Raum, Martin

Scalar-valued depth two Eichler-Shimura integrals of cusp forms. (English) Zbl 07782703

Trans. Lond. Math. Soc. 10, 156-174 (2023).

Reviewer: Oliver Stein (Bonn)

MSC: 11F11 11F30 11F75

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Huber, Tim; Liu, Chang; McLaughlin, James; Ye, Dongxi; Yuan, Miaodan; Zhang, Sumeng

On the vanishing of the coefficients of CM eta quotients. (English) Zbl 07781898

Proc. Edinb. Math. Soc., II. Ser. 66, No. 4, 1202-1216 (2023).

Reviewer: Yilmaz Simsek (Antalya)

MSC: 11F11 11F20 11F30

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Kumar, Arvind; Kumari, Moni

Divisors of Fourier coefficients of two newforms. (English) Zbl 1541.11043

Pac. J. Math. 326, No. 1, 85-107 (2023).

Reviewer: David Lowry-Duda (Providence)

MSC: 11F30 11N36 11F33 11F80

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Pandey, Manish Kumar; Vaishya, Lalit

Averages of double shifted convolution sum of half-integral weight cusp forms. (English) Zbl 07779493

J. Ramanujan Math. Soc. 38, No. 4, 355-367 (2023).

Reviewer: İlker İnam (Bilecik)

MSC: 11F37 11F30 11F67

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Bandini, Andrea; Valentino, Maria

Fourier coefficients and slopes of Drinfeld modular forms. (English) Zbl 1540.11046

Int. J. Number Theory 19, No. 10, 2523-2553 (2023).

Reviewer: Gabriel D. Villa Salvador (Ciudad de México)

MSC: 11F52 11F30 11F33

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Kim, Henry H.

Fourier coefficients of automorphic \(L\)-functions. (English) Zbl 07774975

Int. J. Number Theory 19, No. 10, 2513-2521 (2023).

Reviewer: Kaisa Matomäki (Turku)

MSC: 11F30

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Meher, Jaban; Pandey, Manish Kumar; Shankhadhar, Karam Deo

Koecher-Maass series have infinitely many critical zeros. (English) Zbl 07774932

Bull. Lond. Math. Soc. 55, No. 5, 2224-2232 (2023).

Reviewer: Sami Omar (Sukhair)

MSC: 11F66 11F30 11F46 11N37

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Hundley, Joseph; Liu, Baiying

On automorphic descent from \(\mathrm{GL}_7\) to \(G_2\). (English) Zbl 07774911

J. Eur. Math. Soc. (JEMS) 25, No. 11, 4395-4458 (2023).

Reviewer: Ivan Matić (Osijek)

MSC: 11F70 22E55 11F30

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Hua, Guodong

On general divisor problems of Hecke eigenvalues of cusp forms. (English) Zbl 07773835

Period. Math. Hung. 87, No. 2, 340-350 (2023).

Reviewer: Andrzej Dąbrowski (Szczecin)

MSC: 11F11 11F30 11F66

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LaBelle, Alexis; Van Bergeyk, Emily; Young, Matthew P.

Reciprocity and the kernel of Dedekind sums. (English) Zbl 07771758

Res. Number Theory 9, No. 4, Paper No. 80, 10 p. (2023).

MSC: 11F20 11F11 11F30

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Heim, Bernhard; Neuhauser, Markus; Tröger, Robert

Zeros transfer for recursively defined polynomials. (English) Zbl 07771757

Res. Number Theory 9, No. 4, Paper No. 79, 14 p. (2023).

Reviewer: Florian Luca (Johannesburg)

MSC: 11F30 11F20 39A06 11B83 26C10

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Hirao, Masatake; Nozaki, Hiroshi; Tasaka, Koji

Spherical designs and modular forms of the \(D_4\) lattice. (English) Zbl 1536.11105

Res. Number Theory 9, No. 4, Paper No. 77, 18 p. (2023).

Reviewer: Steven T. Dougherty (Scranton)

MSC: 11H06 05B30 11P21 11F30 11F33

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Zhu, Xiao-Jie

Holomorphic Eisenstein series of rational weights and special values of Gamma function. (English) Zbl 07771576

Acta Arith. 210, 279-305 (2023).

Reviewer: Tim Huber (Edinburg)

MSC: 11F30 11F03 11F11 11F20 33B15

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Goldfeld, Dorian; Hinkle, Gerhardt

The cubic Pell equation \(L\)-function. (English) Zbl 07771575

Acta Arith. 210, 235-277 (2023).

Reviewer: Sami Omar (Sukhair)

MSC: 11M41 11F30 11D25

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Rouse, Jeremy; Thompson, Katherine

Quaternary quadratic forms with prime discriminant. (English) Zbl 1540.11027

Acta Arith. 209, 191-217 (2023).

Reviewer: Andrew G. Earnest (Carbondale)

MSC: 11E20 11F27 11F30 11E12

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Kalita, Gautam; Azharuddin, Shaik

Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves. (English) Zbl 1537.11142

Finite Fields Appl. 92, Article ID 102301, 29 p. (2023).

MSC: 11T24 33C05 33C20 11G05 11F30

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Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon

The Hecke system of harmonic Maass functions and applications to modular curves of higher genera. (English) Zbl 07760618

Ramanujan J. 62, No. 3, 675-717 (2023).

Reviewer: Larry Rolen (Dublin)

MSC: 11F03 11F12 11F22 11F25 11F30 11F33 11F37

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Hua, Guodong

On the local maxima behaviour of Hecke eigenvalues and its applications. (English) Zbl 1533.11080

Front. Math. (Beijing) 18, No. 2, 491-502 (2023).

MSC: 11F11 11F30 11F66

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Liu, Huafeng

The average behavior of Fourier coefficients of symmetric power \(L\)-functions. (English) Zbl 1523.11080

Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 193, 15 p. (2023).

MSC: 11F30 11F66

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Amir, Malik; Hatziiliou, Andreas

A short note on inadmissible coefficients of weight 2 and \(2k+1\) newforms. (English. French summary) Zbl 1523.11078

Ann. Math. Qué. 47, No. 2, 389-402 (2023).

MSC: 11F30 11B39 11G05 11F80

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Broucke, Frederik; Vindas, Jasson

The pointwise behavior of Riemann’s function. (English) Zbl 1538.26007

J. Fractal Geom. 10, No. 3-4, 333-349 (2023).

MSC: 26A27 26A16 11F30 11J70 42A16

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Qin, Huan; Ye, Yang Bo

Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms. (English) Zbl 07753774

Acta Math. Sin., Engl. Ser. 39, No. 9, 1667-1683 (2023).

MSC: 11F30 11F37 11F72

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Jääsaari, Jesse

On signs of Fourier coefficients of Hecke-Maass cusp forms on \(\mathrm{GL}_3\). (English) Zbl 07752633

Trans. Am. Math. Soc. 376, No. 11, 8193-8223 (2023).

Reviewer: Bin Xu (Chengdu)

MSC: 11F30

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Mangerel, Alexander P.

Sign changes of Fourier coefficients of holomorphic cusp forms at norm form arguments. (English) Zbl 1540.11130

Math. Proc. Camb. Philos. Soc. 175, No. 3, 539-567 (2023).

Reviewer: Florian Luca (Johannesburg)

MSC: 11N37 11N64 11F30 11F11 11N36 11R47

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Huang, Bingrong; Sun, Qingfeng; Zhang, Huimin

Analytic twists of \(\mathrm{GL}_2 \times \mathrm{GL}_2\) automorphic forms. (English) Zbl 07747117

Math. Nachr. 296, No. 6, 2366-2394 (2023).

Reviewer: Sami Omar (Sukhair)

MSC: 11F30 11L07 11F66 11M41

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Lao, H.; Zhu, H.

On the asymptotics of coefficients of Rankin-Selberg \(L\)-functions. (English) Zbl 07745821

Acta Math. Hung. 170, No. 2, 524-550 (2023).

MSC: 11F30 11F11 11F66

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Ghosh, Aritra

Weyl-type bounds for twisted \(\mathrm{GL}(2)\) short character sums. (English) Zbl 1524.11112

Ramanujan J. 62, No. 2, 551-569 (2023).

MSC: 11F66 11F30 11F55 11M41

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Vaishya, Lalit; Pandey, Manish Kumar

Counting square-free integers represented by binary quadratic forms of a fixed discriminant. (English) Zbl 1530.11044

Arch. Math. 121, No. 4, 385-395 (2023).

Reviewer: Ahmet Tekcan (Bursa)

MSC: 11F30 11F11 11M06 11N37

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He, Xiaoguang; Wang, Mengdi

Discorrelation of multiplicative functions with nilsequences and its application on coefficients of automorphic \(L\)-functions. (English) Zbl 1537.11111

Mathematika 69, No. 1, 250-285 (2023).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11L07 11F30 37A44

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Cesana, Giulia; Males, Joshua

Bivariate asymptotics for eta-theta quotients with simple poles. (English) Zbl 1524.11099

Ramanujan J. 62, No. 1, 47-67 (2023).

MSC: 11F27 05A17 11P83 11F30

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Branchereau, Romain

Diagonal restriction of Eisenstein series and Kudla-Millson theta lift. (English) Zbl 1537.11056

Forum Math. 35, No. 5, 1373-1418 (2023).

Reviewer: Siu Hang Man (Praha)

MSC: 11F27 11F30 11F03 11F11 11G18 11F41 14C25

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Young, Matthew P.

On the spectral large sieve inequality for symmetric-squares. (English) Zbl 07739173

Forum Math. 35, No. 5, 1221-1236 (2023).

Reviewer: Joshua Friedman (Plainview)

MSC: 11F72 11F66 11L05 11F30

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Sharma, Anubhav; Sankaranarayanan, Ayyadurai

On a divisor problem related to a certain Dedekind zeta-function. (English) Zbl 1536.11148

J. Ramanujan Math. Soc. 38, No. 2, 183-194 (2023).

Reviewer: Shigeru Kanemitsu (Kitakyūshū)

MSC: 11N37 11F66 11F30 11R42

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Xu, Chenran

Sign changes of coefficients of half-integral weight Hecke eigenforms. (English) Zbl 07735813

Proc. Am. Math. Soc. 151, No. 11, 4633-4642 (2023).

MSC: 11F30 11F41 11F03 11E45 11-04

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Zhang, Huimin

Averages of coefficients of a class of degree seven \(L\)-functions. (English) Zbl 07734970

J. Number Theory 253, 137-156 (2023).

Reviewer: Sami Omar (Sukhair)

MSC: 11M06 11F30 11N37 11F66 11L07

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Hou, Fei

The average of the exponential sums related to cusp forms. (English) Zbl 07730404

Int. J. Number Theory 19, No. 8, 1995-2013 (2023).

MSC: 11F11 11F30 11L07

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Zhang, Wei

On squares of Fourier coefficients twist exponential functions with applications. (English) Zbl 1532.11114

Int. J. Number Theory 19, No. 8, 1953-1965 (2023).

Reviewer: Alexey Ustinov (Khabarovsk)

MSC: 11L07 11F30 11B83

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Brown, Jim; Dell, Justine; Griesbach, Hanna Noelle; Hernandez, Amanda

Eigenform product identities of genus two Siegel modular forms of general congruence level. (English) Zbl 07730399

Int. J. Number Theory 19, No. 8, 1897-1915 (2023).

Reviewer: Jennifer Johnson-Leung (Moscow, ID)

MSC: 11F46 11F25 11F30

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Magnusson, Tobias; Raum, Martin

On the computation of general vector-valued modular forms. (English) Zbl 1535.11065

Math. Comput. 92, No. 344, 2861-2891 (2023).

Reviewer: Michael H. Mertens (Köln)

MSC: 11F30 11F11 11F50

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Sharma, Anubhav; Sankaranarayanan, Ayyadurai

On the average behavior of the Fourier coefficients of \(j\)th symmetric power \(L\)-function over certain sequences of positive integers. (English) Zbl 07729543

Czech. Math. J. 73, No. 3, 885-901 (2023).

MSC: 11M06 11F11 11F30

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Krishnamoorthy, Srilakshmi

The Eisenstein and winding elements of modular symbols for odd square-free level. (English) Zbl 1517.11051

Indian J. Pure Appl. Math. 54, No. 3, 713-724 (2023).

MSC: 11F67 11F11 11F20 11F30

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Zhou, Yuxuan

Sums of multiplicative coefficients twisted by Frobenius traces. (English) Zbl 1528.11073

Lith. Math. J. 63, No. 2, 241-248 (2023).

Reviewer: Mehdi Hassani (Zanjan)

MSC: 11L07 11F30 11G20 11J25 11J86

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Balkanova, Olga; Frolenkov, Dmitry

An explicit formula for the second moment of Maass form symmetric square \(L\)-functions. (English) Zbl 07720473

Publ. Mat., Barc. 67, No. 2, 611-660 (2023).

Reviewer: B. Z. Moroz (Bonn)

MSC: 11F12 11F30 11M41

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Davis, Tim

Fourier coefficients of Hilbert modular forms at cusps. (English) Zbl 1529.11068

Ramanujan J. 61, No. 4, 1357-1377 (2023).

Reviewer: Ahmet Tekcan (Bursa)

MSC: 11F30 11F41 11F70

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OA License

Shankhadhar, Karam Deo; Tiwari, Prashant

On sign changes of primitive Fourier coefficients of Siegel cusp forms. (English) Zbl 1533.11097

Funct. Approximatio, Comment. Math. 68, No. 2, 257-274 (2023).

Reviewer: İlker İnam (Bilecik)

MSC: 11F46 11F50 11F30 11F37

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Venkatasubbareddy, Kampamolla; Sankaranarayanan, Ayyadurai

On the average behavior of coefficients related to triple product \(L\)-functions. (English) Zbl 1523.11081

Funct. Approximatio, Comment. Math. 68, No. 2, 195-206 (2023).

MSC: 11F30 11F66

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Hua, Guodong

Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms. (English) Zbl 1523.11069

Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 17, 19 p. (2023).

MSC: 11F11 11F30 11F66

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Ikeda, Tamotsu; Katsurada, Hidenori

Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift. (English) Zbl 1527.11038

Forum Math. 35, No. 4, 975-990 (2023).

Reviewer: İlker İnam (Bilecik)

MSC: 11F30 11F46

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Murakami, Yuya

Extended-cycle integrals of modular functions for badly approximable numbers. (English) Zbl 07715634

Res. Number Theory 9, No. 3, Paper No. 50, 24 p. (2023).

MSC: 11F03 11F11 11F30 11G15

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Hasegawa, Takehiro; Komatsu, Takashi; Konno, Norio; Saigo, Hayato; Saito, Seiken; Sato, Iwao; Sugiyama, Shingo

The limit theorem with respect to the matrices on non-backtracking paths of a graph. (English) Zbl 1518.05121

Ann. Comb. 27, No. 2, 249-268 (2023).

MSC: 05C50 05C38 05C35 11F30 60C05

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Hua, Guodong

On the first simultaneous sign change and non-vanishing of Fourier coefficients of cusp forms. (English) Zbl 1523.11068

Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 12, 17 p. (2023).

MSC: 11F11 11F30 11F66

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Liu, Huafeng

The second moment of the Fourier coefficients of triple product \(L\)-functions. (English) Zbl 1535.11064

Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 8, 12 p. (2023).

Reviewer: İlker İnam (Bilecik)

MSC: 11F30 11F66

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Jääsaari, Jesse; Lester, Stephen; Saha, Abhishek

On fundamental Fourier coefficients of Siegel cusp forms of degree 2. (English) Zbl 1533.11087

J. Inst. Math. Jussieu 22, No. 4, 1819-1869 (2023).

Reviewer: Kaisa Matomäki (Turku)

MSC: 11F30 11F37 11F46 11F67

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Balakrishnan, Jennifer S.; Craig, William; Ono, Ken; Tsai, Wei-Lun

Variants of Lehmer’s speculation for newforms. (English) Zbl 1533.11077

Adv. Math. 428, Article ID 109141, 31 p. (2023); corrigendum ibid. 435, Part A, Article ID 109347, 2 p. (2023).

Reviewer: Paul Voutier (London)

MSC: 11F11 11D61 11F30 11B39 11J86

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Hua, Guodong

A note on the cancellations of sums involving Hecke eigenvalues. (English) Zbl 1517.11041

Indian J. Pure Appl. Math. 54, No. 2, 619-629 (2023).

MSC: 11F30 11F11 11F66

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Alaca, Ayşe

Theta functions of nineteen non-diagonal positive-definite quaternary quadratic forms of discriminant 784 with levels 28 or 56. (English) Zbl 1531.11038

Indian J. Pure Appl. Math. 54, No. 2, 595-607 (2023).

Reviewer: Nihal Özgür (İzmir)

MSC: 11E20 11F27 11E25 11F11 11F20 11F30

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Kiefer, Paul

Orthogonal Eisenstein series and theta lifts. (English) Zbl 1534.11060

Int. J. Number Theory 19, No. 6, 1305-1335 (2023).

Reviewer: Chunhui Wang (Wuhan)

MSC: 11F27 11F30 11F37 11F55 11F60

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Berg, Marcus; Persson, Daniel

Massive theta lifts. (English) Zbl 07701877

J. High Energy Phys. 2023, No. 5, Paper No. 62, 41 p. (2023).

MSC: 81T30 11F30 11F70 11F11 11F03

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Found 2,109 Documents (Results 101–200)

The unbounded denominators conjecture [after F. Calegari, V. Dimitrov, and Y. Tang]. (La conjecture des dénominateurs non bornés [d’après F. Calegari, V. Dimitrov, and Y. Tang].) (English) Zbl 1534.11057

On a general divisor problem related to a certain Dedekind zeta-function over a specific sequence of positive integers. (English) Zbl 1532.11057

On certain partial sums involving squares of Hecke eigenvalues. (English) Zbl 07809567

On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of degree 2. (English) Zbl 1534.11073

Corrigendum to: “Variants of Lehmer’s speculation for newforms”. (English) Zbl 1539.11068

Sharp bound for the fourth moment of holomorphic Hecke cusp forms. (English) Zbl 07794862

On the simultaneous sign changes of coefficients of Rankin-Selberg \(L\)-functions over a certain integral binary quadratic form. (English) Zbl 07794427

The unipotent mixing conjecture. (English) Zbl 07793420

Fourier coefficients of Siegel cusp forms and genera of quadratic forms. (English) Zbl 07791436

The exponential sums related to cusp forms in the level aspect. (English) Zbl 1534.11059

Perturbed interpolation formulae and applications. (English) Zbl 1537.41001

Representations of \(\mathrm{SU}(2,1)\) in Fourier term modules. (English) Zbl 07784628

The three-dimensional divisor problems related to cusp form coefficients. (English) Zbl 1540.11035

On higher moments of Hecke eigenvalues for the congruence group. (English) Zbl 07784577

On higher moments of Dirichlet coefficients attached to symmetric square \(L\)-functions over certain sparse sequence. (English) Zbl 1533.11086

Scalar-valued depth two Eichler-Shimura integrals of cusp forms. (English) Zbl 07782703

On the vanishing of the coefficients of CM eta quotients. (English) Zbl 07781898

Divisors of Fourier coefficients of two newforms. (English) Zbl 1541.11043

Averages of double shifted convolution sum of half-integral weight cusp forms. (English) Zbl 07779493

Fourier coefficients and slopes of Drinfeld modular forms. (English) Zbl 1540.11046

Fourier coefficients of automorphic \(L\)-functions. (English) Zbl 07774975

Koecher-Maass series have infinitely many critical zeros. (English) Zbl 07774932

On automorphic descent from \(\mathrm{GL}_7\) to \(G_2\). (English) Zbl 07774911

On general divisor problems of Hecke eigenvalues of cusp forms. (English) Zbl 07773835

Reciprocity and the kernel of Dedekind sums. (English) Zbl 07771758

Zeros transfer for recursively defined polynomials. (English) Zbl 07771757

Spherical designs and modular forms of the \(D_4\) lattice. (English) Zbl 1536.11105

Holomorphic Eisenstein series of rational weights and special values of Gamma function. (English) Zbl 07771576

The cubic Pell equation \(L\)-function. (English) Zbl 07771575

Quaternary quadratic forms with prime discriminant. (English) Zbl 1540.11027

Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves. (English) Zbl 1537.11142

The Hecke system of harmonic Maass functions and applications to modular curves of higher genera. (English) Zbl 07760618

On the local maxima behaviour of Hecke eigenvalues and its applications. (English) Zbl 1533.11080

The average behavior of Fourier coefficients of symmetric power \(L\)-functions. (English) Zbl 1523.11080

A short note on inadmissible coefficients of weight 2 and \(2k+1\) newforms. (English. French summary) Zbl 1523.11078

The pointwise behavior of Riemann’s function. (English) Zbl 1538.26007

Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms. (English) Zbl 07753774

On signs of Fourier coefficients of Hecke-Maass cusp forms on \(\mathrm{GL}_3\). (English) Zbl 07752633

Sign changes of Fourier coefficients of holomorphic cusp forms at norm form arguments. (English) Zbl 1540.11130

Analytic twists of \(\mathrm{GL}_2 \times \mathrm{GL}_2\) automorphic forms. (English) Zbl 07747117

On the asymptotics of coefficients of Rankin-Selberg \(L\)-functions. (English) Zbl 07745821

Weyl-type bounds for twisted \(\mathrm{GL}(2)\) short character sums. (English) Zbl 1524.11112

Counting square-free integers represented by binary quadratic forms of a fixed discriminant. (English) Zbl 1530.11044

Discorrelation of multiplicative functions with nilsequences and its application on coefficients of automorphic \(L\)-functions. (English) Zbl 1537.11111

Bivariate asymptotics for eta-theta quotients with simple poles. (English) Zbl 1524.11099

Diagonal restriction of Eisenstein series and Kudla-Millson theta lift. (English) Zbl 1537.11056

On the spectral large sieve inequality for symmetric-squares. (English) Zbl 07739173