Document Search Results

Holonomic relations for modular functions and forms: first guess, then prove. (English) Zbl 07924591

Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 535-581 (2024).

MSC: 05A30 11F03 68W30 11F33 11P83

Cite Review PDF

Full Text: DOI

Kang, Soon-Yi

Divisibility properties of the Fourier coefficients of (mock) modular functions and Ramanujan. (English) Zbl 07924580

Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 365-377 (2024).

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

Cite Review PDF

Full Text: DOI

Huber, Timothy; Huerta, Mayra; Mayes, Nathaniel

Arithmetic properties of septic partition functions. (English) Zbl 07924576

Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 287-300 (2024).

MSC: 11P82 11P83 11F33

Cite Review PDF

Full Text: DOI

Liu, Ji-Cai

On the vanishing coefficients of odd powers of Ramanujan’s theta functions. (English) Zbl 07920318

Ramanujan J. 65, No. 1, 45-52 (2024).

MSC: 11F33 33D15 30B10

Cite Review PDF

Full Text: DOI

Dockery, Dalen; Jameson, Marie; Sellers, James A.; Wilson, Samuel

\(d\)-fold partition diamonds. (English) Zbl 07919613

Discrete Math. 347, No. 12, Article ID 114163, 13 p. (2024).

MSC: 11P83 05A17 11F27 11F33

Cite Review PDF

Full Text: DOI arXiv

Fust, Paulina; Ludwig, Judith; Pozzi, Alice; Santos, Mafalda; Wiersema, Hanneke

Real quadratic singular moduli and \(p\)-adic families of modular forms. (English) Zbl 07919518

Abdellatif, Ramla (ed.) et al., Women in numbers Europe IV. Research directions in number theory. Selected papers based on the presentations at the 4th workshop, WINE 4, Utrecht, the Netherlands, August 29 – September 2, 2022. Cham: Springer. Assoc. Women Math. Ser. 32, 253-291 (2024).

MSC: 11F11 11G05 11G18 11G40 11F33 14G22 11F85

Cite Review PDF

Full Text: DOI arXiv

Deo, Shaunak V.; Dimitrov, Mladen; Wiese, Gabor

Unramifiedness of weight 1 Hilbert Hecke algebras. (English) Zbl 07918113

Algebra Number Theory 18, No. 8, 1465-1496 (2024).

MSC: 11F80 11F25 11F33 11F41 11G18 14G35

Cite Review PDF

Full Text: DOI arXiv

Ren, Rufei

The slopes of local ghost series under direct sum. (English) Zbl 07916615

Adv. Math. 452, Article ID 109829, 47 p. (2024).

Reviewer: Ivan Matić (Osijek)

MSC: 11F33 11F70 11F72

Cite Review PDF

Full Text: DOI arXiv

Amdeberhan, Tewodros; Ono, Ken; Singh, Ajit

MacMahon’s sums-of-divisors and allied \(q\)-series. (English) Zbl 07916608

Adv. Math. 452, Article ID 109820, 25 p. (2024).

MSC: 11F03 11A25 11F50 11M41 11F11 11F33

Cite Review PDF

Full Text: DOI arXiv

Bergdall, John; Hansen, David

On \(p\)-adic \(L\)-functions for Hilbert modular forms. (English) Zbl 07913525

Memoirs of the American Mathematical Society 1489. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7031-9/pbk; 978-1-4704-7855-1/ebook). v, 125 p. (2024).

MSC: 11-02 11F67 11F85 11F41 11F03 11F80 11F33

Cite Review PDF

Full Text: DOI arXiv

Delbourgo, Daniel

On the Iwasawa main conjecture for the double product. (English) Zbl 07905998

Trans. Am. Math. Soc. 377, No. 9, 6225-6250 (2024).

MSC: 11F33 11F67 11G40 11R23

Cite Review PDF

Full Text: DOI

Borozenets, Nikolay E.

Deviation of the rank and crank modulo 11. (English) Zbl 07904953

Ramanujan J. 64, No. 4, 1357-1420 (2024).

MSC: 11P83 11F27 11F30 11B65 11F20 11F33

Cite Review PDF

Full Text: DOI arXiv

Channabasavayya; Keerthana, Gedela Kavya; Dasappa, Ranganatha

On a generalization of 5-dissections of some infinite \(q\)-products. (English) Zbl 07904952

Ramanujan J. 64, No. 4, 1335-1355 (2024).

MSC: 11F33 33D15 11P81

Cite Review PDF

Full Text: DOI

Böcherer, Siegfried; Kikuta, Toshiyuki

On \(p\)-adic Siegel-Eisenstein Series from a point of view of the theory of \(\bmod\, p^m\) singular forms. (English) Zbl 07901744

Manuscr. Math. 175, No. 1-2, 203-226 (2024).

MSC: 11F33 11F46

Cite Review PDF

Full Text: DOI arXiv

Fornea, Michele; Jin, Zhaorong

Hirzebruch-Zagier classes and rational elliptic curves over quintic fields. (English) Zbl 07901563

Math. Z. 308, No. 1, Paper No. 18, 78 p. (2024).

MSC: 11F33 11F41 11F67 11F80 11G35 11G40

Cite Review PDF

Full Text: DOI arXiv

Böcherer, Siegfried; Kikuta, Toshiyuki

Congruences for Siegel modular forms of nonquadratic nebentypus mod \(p\). (English) Zbl 07899211

Res. Number Theory 10, No. 3, Paper No. 72, 12 p. (2024).

MSC: 11F33 11F46

Cite Review PDF

Full Text: DOI arXiv

Zhang, Ningchuan

Congruences of Eisenstein series of level \(\Gamma_1(N)\) via Dieudonné theory of formal groups. (English. French summary) Zbl 07892783

J. Théor. Nombres Bordx. 36, No. 1, 215-249 (2024).

MSC: 11F33 14L05

Cite Review PDF

Full Text: DOI arXiv

Johansson, Christian; Ludwig, Judith

Endoscopy on \(\mathrm{SL}_2\)-eigenvarieties. (English) Zbl 07891383

J. Reine Angew. Math. 813, 1-79 (2024).

MSC: 11F70 11F80 11F33 11F85 22E50

Cite Review PDF

Full Text: DOI arXiv

Enns, John; Lee, Heejong

Mod \(p\) local-global compatibility for \(\mathrm{GSp}_4(\mathbb{Q}_p)\) in the ordinary case. (English) Zbl 07880771

Doc. Math. 29, No. 4, 863-919 (2024).

MSC: 11F80 11F33

Cite Review PDF

Full Text: DOI arXiv

OA License

Le, Daniel; Le Hung, Bao V.; Morra, Stefano; Park, Chol; Qian, Zicheng

Colength one deformation rings. (English) Zbl 07880412

Trans. Am. Math. Soc. 377, No. 8, 5749-5786 (2024).

MSC: 11F33 11F85 11F80

Cite Review PDF

Full Text: DOI arXiv

Ringeling, Berend

On the modulo \(p\) zeros of modular forms congruent to theta series. (English) Zbl 07865950

J. Number Theory 262, 386-407 (2024).

MSC: 11F11 11F27 11G20 11F33

Cite Review PDF

Full Text: DOI arXiv

Kling, Anthony

Comparison of integral structures on the space of modular forms of full level \(N\). (English) Zbl 07865945

J. Number Theory 262, 222-300 (2024).

MSC: 11F11 14G35 14H10 11F33

Cite Review PDF

Full Text: DOI arXiv

Le, Daniel; Le Hung, Bao V.; Levin, Brandon; Morra, Stefano

Serre weights for three-dimensional wildly ramified Galois representations. (English) Zbl 07865169

Algebra Number Theory 18, No. 7, 1221-1274 (2024).

MSC: 11F33 11F80 22E50

Cite Review PDF

Full Text: DOI arXiv

Doyon, Anthony; Lei, Antonio

Lambda-invariants of Mazur-Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series. (English) Zbl 07864518

Res. Number Theory 10, No. 2, Paper No. 53, 18 p. (2024).

MSC: 11R23 11S40 11F33

Cite Review PDF

Full Text: DOI arXiv

Ganguli, Abhik; Kumar, Suneel

On the local constancy of certain \(\bmod p\) Galois representations. (English) Zbl 07864517

Res. Number Theory 10, No. 2, Paper No. 52, 43 p. (2024).

MSC: 11F80 11F70 11F33

Cite Review PDF

Full Text: DOI arXiv

Gehrmann, Lennart; Pati, Maria Rosaria

L-invariants for cohomological representations of PGL(2) over arbitrary number fields. (English) Zbl 07862238

Forum Math. Sigma 12, Paper No. e71, 27 p. (2024).

MSC: 11F41 11F33 11F70 11F75 11F80

Cite Review PDF

Full Text: DOI arXiv

OA License

Delbourgo, Daniel

On the Iwasawa \(\mu\)-invariant and \(\lambda\)-invariant associated to tensor products of newforms. (Sur les invariants \(\mu\) et \(\lambda\) d’Iwasawa associés aux produits de formes primitives.) (English. French summary) Zbl 07852662

Ann. Inst. Fourier 74, No. 2, 451-502 (2024).

MSC: 11F33 11F80 11G40 11R23

Cite Review PDF

Full Text: DOI

Ahlgren, Scott; Andersen, Nickolas; Dicks, Robert

The Shimura lift and congruences for modular forms with the eta multiplier. (English) Zbl 07849765

Adv. Math. 447, Article ID 109655, 59 p. (2024).

Reviewer: Martin Raum (Gothenburg)

MSC: 11F20 11F27 11F33 11F37

Cite Review PDF

Full Text: DOI arXiv

Fretwell, Dan; Roberts, Jenny

Newform Eisenstein congruences of local origin. (English) Zbl 07846621

Ramanujan J. 64, No. 2, 505-527 (2024).

MSC: 11F11 11F30 11F33 11F80 11F67 11R34

Cite Review PDF

Full Text: DOI arXiv

OA License

Barake, Daniel; Franc, Cameron

Characters in \(p\)-adic Heisenberg and lattice vertex operator algebras. (English) Zbl 07841618

Commun. Algebra 52, No. 7, 2903-2916 (2024).

MSC: 17B69 11F33 11D88 81R10

Cite Review PDF

Full Text: DOI arXiv

Damm-Johnsen, Håvard

Modular algorithms for Gross-Stark units and Stark-Heegner points. (English) Zbl 07840416

Cremona, John (ed.) et al., LuCaNT: LMFDB, computation, and number theory. Conference, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island, USA, July 10–14, 2023. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 796, 261-284 (2024).

MSC: 11F33 11R42 11Y40

Cite Review PDF

Full Text: DOI arXiv

Combes, Lewis

Bianchi period polynomials: Hecke action and congruences. (English) Zbl 07837207

Res. Number Theory 10, No. 2, Paper No. 40, 23 p. (2024).

MSC: 11F67 11F75 11F33 11F11

Cite Review PDF

Full Text: DOI arXiv

OA License

Dummigan, N.; Pacetti, A.; Rama, G.; Tornaría, G.

Quinary forms and paramodular forms. (English) Zbl 07833096

Math. Comput. 93, No. 348, 1805-1858 (2024).

Reviewer: Emmanuel Royer (Montréal)

MSC: 11F46 11F55 11F33

Cite Review PDF

Full Text: DOI arXiv

Deo, Shaunak V.

The Eisenstein ideal of weight \(k\) and ranks of Hecke algebras. (English) Zbl 07825904

J. Inst. Math. Jussieu 23, No. 2, 983-1017 (2024).

MSC: 11F80 11F25 11F33

Cite Review PDF

Full Text: DOI arXiv

Tajima, Ryota

The \(p\)-adic constant for mock modular forms associated to CM forms. (English) Zbl 07823292

Ramanujan J. 63, No. 4, 917-929 (2024).

Reviewer: İlker İnam (Bilecik)

MSC: 11F03 11F11 11F12 11F25 11F30 11F33

Cite Review PDF

Full Text: DOI arXiv

Tang, Dazhao

Vanishing coefficients in powers of theta functions with odd moduli. (English) Zbl 07823201

Rocky Mt. J. Math. 54, No. 1, 261-267 (2024).

MSC: 11F33 33D15

Cite Review PDF

Full Text: DOI Link

Thorne, Jack A.

Congruences between modular forms. (English) Zbl 07820057

Proc. Indian Acad. Sci., Math. Sci. 134, No. 1, Paper No. 9, 31 p. (2024).

MSC: 11F33

Cite Review PDF

Full Text: DOI

Katsurada, H.; Nagaoka, S.

Corrigendum to: “On \(p\)-adic Siegel Eisenstein series”. (English) Zbl 1539.11072

J. Number Theory 259, 419-421 (2024).

MSC: 11F33 11F46

Cite Review PDF

Full Text: DOI

Buium, Alexandru

Lie invariant Frobenius lifts. (English) Zbl 07813874

J. Number Theory 259, 378-418 (2024).

MSC: 11G07 11F33 11E99

Cite Review PDF

Full Text: DOI

Advocaat, Bryan

Computations on overconvergence rates related to the Eisenstein family. (English) Zbl 07813863

J. Number Theory 259, 112-130 (2024).

MSC: 11F33 11F85 11F11

Cite Review PDF

Full Text: DOI arXiv

Thorne, Jack A.

A \(p\)-adic approach to the existence of level-raising congruences. (English) Zbl 07813759

Proc. Lond. Math. Soc. (3) 128, No. 2, Article ID e12584, 56 p. (2024).

Reviewer: Elmar Große-Klönne (Berlin)

MSC: 11F33

Cite Review PDF

Full Text: DOI arXiv

OA License

Liu, Ruochuan; Truong, Nha Xuan; Xiao, Liang; Zhao, Bin

A local analogue of the ghost conjecture of Bergdall-Pollack. (English) Zbl 1534.11066

Peking Math. J. 7, No. 1, 247-344 (2024).

MSC: 11F33 11F85

Cite Review PDF

Full Text: DOI arXiv

Huber, Timothy; Mayes, Nathaniel; Opoku, Jeffery; Ye, Dongxi

Ramanujan type congruences for quotients of Klein forms. (English) Zbl 07802063

J. Number Theory 258, 281-333 (2024).

MSC: 11P83 11F11 11F33 05A17

Cite Review PDF

Full Text: DOI arXiv

Bellovin, Rebecca

Modularity of trianguline Galois representations. (English) Zbl 07790905

Forum Math. Sigma 12, Paper No. e3, 52 p. (2024).

Reviewer: Manouchehr Misaghian (Prairie View)

MSC: 11F80 11F85 11F33

Cite Review PDF

Full Text: DOI arXiv

OA License

Cui, Su-Ping; Gu, Nancy S. S.; Tang, Dazhao

The method of constant terms and \(k\)-colored generalized Frobenius partitions. (English) Zbl 07787797

J. Comb. Theory, Ser. A 203, Article ID 105837, 36 p. (2024).

Reviewer: Shane Chern (University Park)

MSC: 11P83 05A17 11F33

Cite Review PDF

Full Text: DOI

Martin, Kimball; Wakatsuki, Satoshi

Mass formulas and Eisenstein congruences in higher rank. (English) Zbl 07786326

J. Number Theory 257, 249-272 (2024).

MSC: 11F33 11F41

Cite Review PDF

Full Text: DOI arXiv

Wang, Haowu; Williams, Brandon

Automorphic products that are singular modulo primes. (English) Zbl 07783313

Res. Number Theory 10, No. 1, Paper No. 8, 16 p. (2024).

MSC: 11F33 11F55 11F46 11F50

Cite Review PDF

Full Text: DOI arXiv

OA License

Kiming, Ian; Rustom, Nadim

Eisenstein series, \(p\)-adic modular functions, and overconvergence. II. (English) Zbl 07783309

Res. Number Theory 10, No. 1, Paper No. 4, 14 p. (2024).

MSC: 11F33 11F85

Cite Review PDF

Full Text: DOI arXiv

OA License

Fong, Ho Leung

Adjoint \(L\)-functions, congruence ideals, and Selmer groups over \(\mathrm{GL}_n\). arXiv:2409.14933

Preprint, arXiv:2409.14933 [math.NT] (2024).

MSC: 11F67 11F75 11F33

Cite

Full Text: arXiv

OA License

Büyükboduk, Kâzım; Casazza, Daniele; Pal, Aprameyo; de Vera-Piquero, Carlos

On the Artin formalism for triple product \(p\)-adic \(L\)-functions: Chow–Heegner points vs. Heegner points. arXiv:2409.08645

Preprint, arXiv:2409.08645 [math.NT] (2024).

MSC: 11F66 11F67 11F33 11F85 11G18 14F30

Cite

Full Text: arXiv

OA License

Marcil, David

\(p\)-adic \(L\)-functions for \(P\)-ordinary Hida families on unitary groups. arXiv:2409.03783

Preprint, arXiv:2409.03783 [math.NT] (2024).

MSC: 11F33 11F55 11F67 11F70 11F85 11S40 11F03 11F30 11G18 11R23 14G10

Cite

Full Text: arXiv

OA License

Zudilin, Wadim

A non-ordinary (prime) note. arXiv:2409.00384

Preprint, arXiv:2409.00384 [math.NT] (2024).

MSC: 11F33 11F30 11P83 33C20

Cite

Full Text: arXiv

OA License

Moakher, Mohamed

Quantitative level lowering for weight two Hilbert modular forms. arXiv:2408.15410

Preprint, arXiv:2408.15410 [math.NT] (2024).

MSC: 11F33 11F80 11G10

Cite

Full Text: arXiv

OA License

El-Guindy, Ahmad; Ghazy, Mostafa M.

\(\ell\)-adic properties and congruences of \(\ell\)-regular partition functions. arXiv:2408.04462

Preprint, arXiv:2408.04462 [math.NT] (2024).

MSC: 11F33 11P83

Cite

Full Text: arXiv

OA License

Ludwig, Judith

Spectral theory and the Eigenvariety machine. arXiv:2407.18073

Preprint, arXiv:2407.18073 [math.NT] (2024).

MSC: 14G22 11F33

Cite

Full Text: arXiv

OA License

Bergdall, John; Pollack, Robert

New phenomena arising from L-invariants of modular forms. arXiv:2407.17411

Preprint, arXiv:2407.17411 [math.NT] (2024).

MSC: 11F67 11F80 11F85 11F33

Cite

Full Text: arXiv

OA License

Grossi, Giada; Loeffler, David; Zerbes, Sarah Livia

On the Bloch-Kato conjecture and Iwasawa main conjecture for GO(4). arXiv:2407.17055

Preprint, arXiv:2407.17055 [math.NT] (2024).

MSC: 11F41 11F33 11G18 14G35

Cite

Full Text: arXiv

OA License

Chen, Dandan; Chen, Rong; Garvan, Frank

Congruences modulo powers of \(5\) and \(7\) for the crank and rank parity functions and related mock theta functions. arXiv:2407.07107

Preprint, arXiv:2407.07107 [math.NT] (2024).

MSC: 05A17 11F33 11F37 11P83 33D15

Cite

Full Text: arXiv

OA License

Ganguli, Abhik; Kumar, Suneel

Determination of certain mod \(p\) Galois representations using local constancy. arXiv:2406.15600

Preprint, arXiv:2406.15600 [math.NT] (2024).

MSC: 11F80 11F70 11F33

Cite

Full Text: arXiv

OA License

Keith, William J.; Zanello, Fabrizio

Parity of the coefficients of certain eta-quotients, III: The case of pure eta-powers. arXiv:2404.15716

Preprint, arXiv:2404.15716 [math.CO] (2024).

MSC: 11P83 05A17 11P84 11P82 11F33

Cite

Full Text: arXiv

OA License

Conti, Andrea

\(p\)-adic rigidity of eigenforms of infinite slope. arXiv:2403.16918

Preprint, arXiv:2403.16918 [math.NT] (2024).

MSC: 11F33 11F80

Cite

Full Text: arXiv

OA License

Williams, Clayton

Hecke Relations for Eta Multipliers and Congruences of Higher-Order Smallest Parts Functions. arXiv:2403.04909

Preprint, arXiv:2403.04909 [math.NT] (2024).

MSC: 11F37 11F33 11P83

Cite

Full Text: arXiv

OA License

Parnoff, Ellise; Raghuram, A.

Ramanujan’s congruence primes. arXiv:2403.03345

Preprint, arXiv:2403.03345 [math.NT] (2024).

MSC: 11F33 11F67

Cite

Full Text: arXiv

OA License

Guerzhoy, Pavel

On the \(p\)-adic values of the weight two Eisenstein series for supersingular primes. arXiv:2403.02592

Preprint, arXiv:2403.02592 [math.NT] (2024).

MSC: 11F33 14H52 11S31

Cite

Full Text: arXiv

OA License

Fiore, Leonardo

A theta operator for the group \(\mathrm{GSp}_4\). arXiv:2402.02524

Preprint, arXiv:2402.02524 [math.NT] (2024).

MSC: 11G18 11F33 11F80 11F85

Cite

Full Text: arXiv

OA License

Zheng, Qi-Yang

Distribution of 3-regular and 5-regular partitions. (English) Zbl 1539.11135

Integers 23, Paper A97, 14 p. (2023).

MSC: 11P83 11F20 11F33

Cite Review PDF

Full Text: arXiv Link

Caraiani, Ana

The cohomology of Shimura varieties with torsion coefficients. (English) Zbl 1533.11116

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1744-1766 (2023).

MSC: 11G18 11R39 11F33 11F70 11F75 11F80

Cite Review PDF

Full Text: DOI

OA License

Calegari, Frank

Reciprocity in the Langlands program since Fermat’s last theorem. (English) Zbl 1533.11106

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 610-651 (2023).

MSC: 11F80 11F33 11F75 11S37