Found 23,245 Documents (Results 1–100)
Log-concavity results for a biparametric and an elliptic extension of the \(q\)-binomial coefficients. (English) Zbl 07924593
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, 609-626 (2024).
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).
Mock modular Eisenstein series with nebentypus. (English) Zbl 07924589
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, 505-519 (2024).
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).
Stability of Asai local factors for \(\mathrm{GL}(2)\). (English) Zbl 07924578
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, 317-334 (2024).
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).
Polynomials and reciprocals of Eisenstein series. (English) Zbl 07924575
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, 275-285 (2024).
Poles of triple product \(L\)-functions involving monomial representations. (English) Zbl 07924574
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, 267-274 (2024).
Proof of a rational Ramanujan-type series for \(1/ \pi\). The fastest one in level 3. (English) Zbl 07924573
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, 261-265 (2024).
Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms. (English) Zbl 07924571
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, 213-222 (2024).
Subconvexity implies effective quantum unique ergodicity for Hecke-Maaß cusp forms on SL \(2( \mathbb{Z})\setminus\) SL \(2( \mathbb{R} )\). (English) Zbl 07923486
Cyclic base change of cuspidal automorphic representations over function fields. (English) Zbl 07922972
Period relations for Rankin-Selberg convolutions for \({\mathrm{GL}}(n)\times{\mathrm{GL}}(n-1)\). (English) Zbl 07922970
A two variable Rankin-Selberg integral for \(\mathrm{GU}(2,2)\) and the degree \(5\) \(L\)-function of \(\mathrm{GSp}_4\). (English) Zbl 07922692
On reducibility of induced representations of odd unitary groups: the depth zero case. (English) Zbl 07922015
Orbits in lattices. (English) Zbl 07921106
Sums of coefficients of general \(L\)-functions over arithmetic progressions and applications. (English) Zbl 07921104
Representations of the \(p\)-adic \(\mathrm{GSpin}_4\) and \(\mathrm{GSpin}_6\) and the adjoint \(L\)-function. (English) Zbl 07921103
Nonvanishing of \(L\)-function of some Hecke characters on cyclotomic fields. (English) Zbl 07921102
Coulomb branch surgery: holonomy saddles, S-folds and discrete symmetry gaugings. (English) Zbl 07920983
Theta-function identities of Ramanujan’s continued fractions of order fourteen and twenty-eight, partition identities and vanishing coefficients. (English) Zbl 07920799
The distributions of coefficients of triple product \(L\)-functions over arithmetic progressions. (English) Zbl 07920795
Reviewer: Sami Omar (Sukhair)
\(L\)-series of weakly holomorphic quasimodular forms and a converse theorem. (English) Zbl 07920508
Reviewer: Sami Omar (Sukhair)
Rogers-Ramanujan type identities involving double, triple and quadruple sums. (English) Zbl 07920332
On the solutions of \(x^2 = By^p + Cz^p\) and \(2x^2 = By^p + Cz^p\) over totally real fields. (English) Zbl 07920317
Ideal class groups of number fields associated to modular Galois representations. (English) Zbl 07919757
\(d\)-fold partition diamonds. (English) Zbl 07919613
A note on the non-vanishing of Poincaré series. (English) Zbl 07919521
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, 353-369 (2024).
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).
Power values of power sums: a survey. (English) Zbl 07919515
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, 155-193 (2024).
On the \(p\)-isogenies of elliptic curves with multiplicative reduction over quadratic fields. (English) Zbl 07918588
Guàrdia, Jordi (ed.) et al., New frontiers in number theory and applications. Cham: Birkhäuser. Trends Math., 411-425 (2024).
The slopes of local ghost series under direct sum. (English) Zbl 07916615
Reviewer: Ivan Matić (Osijek)
Dihedral long root A-packets of \(p\)-adic \(G_2\) via theta correspondence. (English) Zbl 07915898
Reviewer: Ivan Matić (Osijek)
Asymptotic of Fourier coefficients of Hecke eigenforms at integers represented by a binary quadratic form of a fixed discriminant. (English) Zbl 07915731
Splitting hypergeometric functions ove roots of unity. (English) Zbl 07914826
Reviewer: Uğur Duran (İskenderun)
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).
Simple supercuspidal \(L\)-packets of quasi-split classical groups. (English) Zbl 07913518
Memoirs of the American Mathematical Society 1483. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6956-6/pbk; 978-1-4704-7831-5/ebook). v, 161 p. (2024).
Reviewer: Ivan Matić (Osijek)
Stability in the category of smooth \(\operatorname{mod}\)-\(p\) representations of \(\operatorname{SL}_2(\mathbb{Q}_p)\). (English) Zbl 07912275
\(p\)-adic limit of the Eisenstein series on the exceptional group of type \(E_{7,3}\). (English) Zbl 07910775
Odd moments for the trace of Frobenius and the Sato-Tate conjecture in arithmetic progressions. (English) Zbl 07905712
Multilevel wavelet packets in Sobolev space over local fields of positive characteristic. (English) Zbl 07905082
Congruences for class numbers of \(\mathbb{Q}(\sqrt{\pm 2p})\) when \(p\equiv 3 \pmod 4\) is prime. (English) Zbl 07904944
The average behaviour of Fourier coefficients of the Hecke-Maass form associated to \(k\)-free numbers. (English) Zbl 07904940
Coherent cohomology of Shimura varieties and automorphic forms. (Cohomologie cohérente des variétés de Shimura et formes automorphes.) (English. French summary) Zbl 07904673
Local models for the trianguline variety and partially classical families. (Modèles locaux pour la variété trianguline et familles partiellement classiques.) (English. French summary) Zbl 07904667
The first coefficient of Langlands Eisenstein series for \(\mathrm{SL}(n,\mathbb{Z})\). (English) Zbl 07903811
Profinite groups and residual finiteness. (English) Zbl 07903160
EMS Textbooks in Mathematics. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-078-5/hbk; 978-3-98547-578-0/ebook). (2024).
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