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Bucur, Alina (ed.) et al., Research directions in number theory. Women in numbers V. Proceedings of the WIN5 workshop. Banff, Alberta, Canada, November 15–20, 2020. Cham: Springer. Assoc. Women Math. Ser. 33, 295-318 (2024).

MSC: 11S40 11R42 11F46 11F67

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Babei, Angelica; Beneish, Lea; Roy, Manami; Swisher, Holly; Tobin, Bella; Tu, Fang-Ting

Generalized Ramanujan-Sato series arising from modular forms. (English) Zbl 07926447

MSC: 11F11 11F03 11Y60 33C05 33C20

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Horinaga, Shuji

On the classification of \((\mathfrak{g}, K)\)-modules generated by nearly holomorphic Hilbert-Siegel modular forms and projection operators. (English. French summary) Zbl 07926278

Ann. Math. Qué. 48, No. 2, 309-348 (2024).

MSC: 11F46 11F30 11M36 20G20 22E47

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Mulokwe, Mbavhalelo; Zoubos, Konstantinos

Free fermions, neutrality and modular transformations. (English) Zbl 07925383

J. Phys. A, Math. Theor. 57, No. 39, Article ID 395401, 26 p. (2024).

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Rana, M.; Kaur, H.

Some matching coefficients of \(q\)-products. (English) Zbl 07925175

South East Asian J. Math. Math. Sci. 20, No. 1, 405-424 (2024).

MSC: 11A55 11F33

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Paule, Peter; Radu, Cristian-Silviu

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

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Mertens, Michael H.; Ono, Ken; Rolen, Larry

Mock modular Eisenstein series with nebentypus. (English) Zbl 07924589

MSC: 11F03 11F37 11F30

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Kang, Soon-Yi

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

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

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Huber, Timothy; Huerta, Mayra; Mayes, Nathaniel

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

MSC: 11P82 11P83 11F33

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Heim, Bernhard; Neuhauser, Markus

Polynomials and reciprocals of Eisenstein series. (English) Zbl 07924575

MSC: 11F30 11M36 26C10 05A17 11B37

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Guillera, Jesús

Proof of a rational Ramanujan-type series for \(1/ \pi\). The fastest one in level 3. (English) Zbl 07924573

MSC: 33E05 33C05 33C20 11F03

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Gugg, Chadwick

On conjectures of Koike and Somos for modular identities for the Rogers-Ramanujan functions. (English) Zbl 07924572

MSC: 11P84 33D90

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Folsom, Amanda

Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms. (English) Zbl 07924571

MSC: 11F37 11F99 33D15 33D70

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Bisain, Ankit; Humphries, Peter; Mandelshtam, Andrei; Walsh, Noah; Wang, Xun

Subconvexity implies effective quantum unique ergodicity for Hecke-Maaß cusp forms on \(\mathrm{SL}_2 (\mathbb{Z})\setminus \mathrm{SL}_2 (\mathbb{R})\). (English) Zbl 07923486

Essent. Number Theory 3, No. 1, 101-144 (2024).

MSC: 11F12 11F66 11F67 58J51 81Q50

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Rui, Hebing; Si, Mei; Song, Linliang

The Jucys-Murphy basis and semisimplicity criteria for the \(q\)-Brauer algebra. (English) Zbl 07922491

Lett. Math. Phys. 114, No. 4, Paper No. 104, 36 p. (2024).

MSC: 16G30 18M20 20C08 33D80

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Dixit, Atul; Sathyanarayana, Sumukha; Sharan, N. Guru

Modular relations involving generalized digamma functions. (English) Zbl 07922129

J. Math. Anal. Appl. 539, No. 1, Part 2, Article ID 128479, 37 p. (2024).

Reviewer: Kamel Mazhouda (Monastir)

MSC: 11M06 11M35 11M41 33B15

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Du, Julia Q. D.; Tang, Dazhao

Proofs of some conjectural Hurwitz type identities for three squares due to Cooper and Hirschhorn. (English) Zbl 07922123

J. Math. Anal. Appl. 539, No. 1, Part 1, Article ID 128525, 20 p. (2024).

Reviewer: Meinhard Peters (Münster)

MSC: 11E25 11P83 05A17

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Du, Julia Q. D.; Tang, Dazhao

Congruence properties modulo powers of \(2\) for \(4\)-regular partitions. (English) Zbl 07922006

Electron. J. Comb. 31, No. 3, Research Paper P3.32, 17 p. (2024).

Reviewer: Mircea Merca (București)

MSC: 11P83 05A17

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Jääsaari, Jesse; Lester, Stephen; Saha, Abhishek

Mass equidistribution for Saito-Kurokawa lifts. (English) Zbl 07921924

Geom. Funct. Anal. 34, No. 5, 1460-1532 (2024).

MSC: 11F46 11F30 11M41 58J51

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Li, Libo; Liu, Kaituo; Wang, Yao

Martingale inequalities in Orlicz-Karamata modular spaces. (English) Zbl 07921125

Banach J. Math. Anal. 18, No. 3, Paper No. 54, 24 p. (2024).

MSC: 46E30 60G46 60G42

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Benoist, Yves

Convolution and square in abelian groups. I. (English) Zbl 07921122

Exp. Math. 33, No. 3, 518-528 (2024).

MSC: 11F27 11G05

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Asgari, Mahdi; Choiy, Kwangho

Representations of the \(p\)-adic \(\mathrm{GSpin}_4\) and \(\mathrm{GSpin}_6\) and the adjoint \(L\)-function. (English) Zbl 07921103

J. Number Theory 265, 76-116 (2024).

Reviewer: Yi Shan (Paris)

MSC: 11F55 11F70 11F66 22E50

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Baza, A.; Rossafi, M.

Stability of radical cubic functional inequality in modular spaces and fuzzy Banach space. (English) Zbl 07920839

Azerb. J. Math. 14, No. 2, 144-159 (2024).

MSC: 39B82 39B52

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Hua, Guodong

The distributions of coefficients of triple product \(L\)-functions over arithmetic progressions. (English) Zbl 1546.11068

Funct. Approximatio, Comment. Math. 70, No. 2, 143-164 (2024).

Reviewer: Sami Omar (Sukhair)

MSC: 11F66 11F30 11F11

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Charan, Mrityunjoy

\(L\)-series of weakly holomorphic quasimodular forms and a converse theorem. (English) Zbl 1546.11134

Forum Math. 36, No. 5, 1249-1265 (2024).

Reviewer: Sami Omar (Sukhair)

MSC: 11M41 11M06 11F11 11F12 11F30

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Li, Zhi; Wang, Liuquan

Rogers-Ramanujan type identities involving double, triple and quadruple sums. (English) Zbl 07920332

Ramanujan J. 65, No. 1, 333-390 (2024).

MSC: 11P84 33D15 33D60 11F03

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Luo, Shu; Lao, Huixue

On the coefficients of automorphic representations over polynomials. (English) Zbl 07920325

Ramanujan J. 65, No. 1, 173-188 (2024).

Reviewer: İlker İnam (Bilecik)

MSC: 11F30 11F11 11F66

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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).

Reviewer: Dazhao Tang (Chongqing)

MSC: 11F33 33D15 30B10

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Žunar, Sonja

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).

MSC: 11F11 11F30 11F12 11F03

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Found 8,820 Documents (Results 1–100)

Some approximation properties in fractional Musielak-Sobolev spaces. (English) Zbl 07965336

Further study on MacMahon-type sums of divisors. (English) Zbl 07965261

Mixed moments of the Riemann zeta and Dirichlet \(L\)-functions. (English) Zbl 07964590

On the Iwasawa main conjecture for generalized Heegner classes in a quaternionic setting. (English) Zbl 07963418

Generalized \(L\)-functions related to the Riemann zeta function. (English) Zbl 07963377

On the Shintani lifting of integral weight modular forms to half-integral weight modular forms. (English) Zbl 07963368

Copies of \(l^{\infty}\) in quasi-normed Calderón-Lozanovskiĭ spaces. (English) Zbl 07960484

Construction and non-vanishing of a family of vector-valued Siegel Poincaré series. (English) Zbl 07956624

Congruences between the coefficients of certain mock theta functions. (English) Zbl 07954246

Analogue of Ramanujan’s function \(k(\tau)\) for the continued fraction \(X(\tau)\) of order six. (English) Zbl 07946964

Ramanujan’s theta functions and internal congruences modulo arbitrary powers of 3. (English) Zbl 07940994

\(p\)-adic hypergeometric functions and certain weight three newforms. (English) Zbl 07933902

Non-zero central values of Dirichlet twists of elliptic \(L\)-functions. (English) Zbl 07930590

A twisted additive divisor problem. (English) Zbl 07930585

CM points, class numbers, and the Mahler measures of \(x^3+y^3+1-kxy\). (English) Zbl 07929952

Eisenstein Cohomology and Critical Values of Certain \(L\)-Functions: The Case \(G_2\). arXiv:2501.03546

L-functions and rational points for Galois twists of modular curves. arXiv:2501.01315

Stability of a generalized Euler-Lagrange radical multifarious functional equation. (English) Zbl 07965079

Vanishing coefficients in arithmetic progressions of some infinite products with modulo 13, 17, 19 and 29. (English) Zbl 07965073

Laurent expansions of meromorphic modular forms. (English) Zbl 07963350

Continuity of the \(j\)-function on the Markov tree. (English) Zbl 07963331

Higher Rademacher symbols. (English) Zbl 07962375

On the sign changes of Dirichlet coefficients of triple product \(L\)-functions. (English) Zbl 07960687

Representation numbers by quadratic forms of certain levels. (English) Zbl 07960128

Sign changes of the coefficients of triple product \(L\)-functions. (English) Zbl 07960119

On the density hypothesis for \(L\)-functions associated with holomorphic cusp forms. (English) Zbl 07958543

Katz type \(p\)-adic \(L\)-functions for primes \(p\) non-split in the CM field. (English) Zbl 07958219

Motivic congruences and Sharifi’s conjecture. (English) Zbl 07958216

Isogeny graphs on superspecial abelian varieties: eigenvalues and connection to Bruhat-Tits buildings. (English) Zbl 07955683

Height functions on Hecke orbits and the generalised André-Pink-Zannier conjecture. (English) Zbl 07954182

New symmetries for Dyson’s rank function. (English) Zbl 07951625

Composition-theoretic series in partition theory. (English) Zbl 07951624

An infinite family of vector-valued mock theta functions. (English) Zbl 07951621

Double Eisenstein series and modular forms of level 4. (English) Zbl 07951614

Explicit families of congruences for the overpartition function. (English) Zbl 07951613

Tempered currents and Deligne cohomology of Shimura varieties, with an application to \(\text{GSp}_6\). (English) Zbl 07950576

Further development on Krasner-Vuković paragraded structures and \(p\)-adic interpolation of Yubo Jin \(L\)-values. (English) Zbl 07949411

Lefschetz number formula for Shimura varieties of Hodge type. (English) Zbl 07949223

Extensions and limits of the Specker-Blatter theorem. (English) Zbl 07949009

The paramodular Hecke algebra. (English) Zbl 07948205

Some new modular equations of composite degrees. (English) Zbl 07946421

Some association between \(R_\alpha\), \(R_\beta\) and \(R_m\) in terms of theta functions. (English) Zbl 07945329

A note on Schläfli type modular equations of composite degrees. (English) Zbl 07945326

Witten-Reshetikhin-Turaev invariants and indefinite false theta functions for plumbing indefinite H-graphs. (English) Zbl 07941239

Random generation of subgroups of the modular group with a fixed isomorphism type. (English) Zbl 07940950

Mating quadratic maps with the modular group. III: The modular Mandelbrot set. (English) Zbl 07940521

Eisenstein congruences among Euler systems. (English) Zbl 07940484

Ramanujan-type series for \(\frac{1}{\pi}\), revisited. (English) Zbl 07940478

Modular law through GKM theory. (English) Zbl 07940239

Kato’s main conjecture for potentially ordinary primes. (English) Zbl 07940200

Bessel functions on \(\mathrm{GL}(n)\). I. (English) Zbl 07939809

Fuzzy stability of mixed type functional equations in modular spaces. (English) Zbl 07939117

A general divisor problem involving Hecke eigenvalues. (English) Zbl 07937724

Hypergeometric solutions to Schwarzian equations. (English) Zbl 07937717

Triple correlation sums of coefficients of Maass forms for \(\mathrm{SL}_4(\mathbb{Z})\). (English) Zbl 07936879

Plectic Jacobians. (English) Zbl 07936867

Algebraicity of \(L\)-values for \(\mathrm{GSp}_4\times\mathrm{GL}_2\) and \(\mathrm{GSp}_4\times\mathrm{GL}_2\times\mathrm{GL}_2\). (English) Zbl 07936850

Zero-dimensional Shimura varieties and central derivatives of Eisenstein series. (English) Zbl 07936821

A fixed point approach to the stability of a quadratic functional equation in modular spaces without \(\Delta_2\)-conditions. (English) Zbl 07935946

Arithmetic Gan-Gross-Prasad conjecture for RSZ unitary Shimura curves. (English) Zbl 07935175

On Fourier coefficients associated to automorphic \(L\)-functions over a binary quadratic form and its applications. (English) Zbl 07932506

Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for \(\zeta (2k+1)\), Weierstraß’ elliptic and allied functions. (English) Zbl 07932502

Concyclicity of the zeros of polynomials associated to derivatives of the \(L\)-functions of Eisenstein series. (English) Zbl 07932501

Hybrid subconvexity bound for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions: \(t\) and level aspect. (English) Zbl 07932438

Watkins’s conjecture for elliptic curves over function fields. (English) Zbl 07930945

A cubic pure half-spinor approach to high performance photon-counting computerized X-ray tomography – transcendence of the Brauer mirror symmetry functor –. (English) Zbl 07930078

Spectral moment formulae for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) \(L\)-functions. I: The cuspidal case. (English) Zbl 07929055

Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated. (English) Zbl 07928012

On the arithmetic fundamental lemma conjecture over a general \(p\)-adic field. (English) Zbl 07927745

Modular forms on \(\Gamma_0 (2)\) with all zeros on a specific geodesic. (English) Zbl 07927483

On the convergence of certain indefinite theta series. (English) Zbl 07927171

\(p\)-adic measures for reciprocals of \(L\)-functions of totally real number fields. (English) Zbl 07926454

Generalized Ramanujan-Sato series arising from modular forms. (English) Zbl 07926447