Ankur; Kewat, Pramod Kumar Self-dual codes over \({\mathbb{F}}_2[u]/\langle u^4 \rangle\) and Jacobi forms over a totally real subfield of \({\mathbb{Q}}(\zeta_8)\). (English) Zbl 07346967 Des. Codes Cryptography 89, No. 5, 1091-1109 (2021). MSC: 06D50 11F27 11F46 11F50 94B05 PDF BibTeX XML Cite \textit{Ankur} and \textit{P. K. Kewat}, Des. Codes Cryptography 89, No. 5, 1091--1109 (2021; Zbl 07346967) Full Text: DOI
Miezaki, Tsuyoshi; Munemasa, Akihiro; Nakasora, Hiroyuki A note on Assmus-Mattson type theorems. (English) Zbl 07346959 Des. Codes Cryptography 89, No. 5, 843-858 (2021). MSC: 94B05 05B05 PDF BibTeX XML Cite \textit{T. Miezaki} et al., Des. Codes Cryptography 89, No. 5, 843--858 (2021; Zbl 07346959) Full Text: DOI
Ichino, Atsushi; Prasanna, Kartik Periods of quaternionic Shimura varieties. I. (English) Zbl 07346364 Contemporary Mathematics 762. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4894-3/pbk; 978-1-4704-6418-9/ebook). vi, 214 p. (2021). MSC: 11-02 11F41 11F27 11G18 PDF BibTeX XML Cite \textit{A. Ichino} and \textit{K. Prasanna}, Periods of quaternionic Shimura varieties. I. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 07346364) Full Text: DOI
Nagaoka, Shoyu Notes on theta series for Niemeier lattices. II. (English) Zbl 07344937 Ramanujan J. 55, No. 1, 327-335 (2021). MSC: 11F46 11F27 PDF BibTeX XML Cite \textit{S. Nagaoka}, Ramanujan J. 55, No. 1, 327--335 (2021; Zbl 07344937) Full Text: DOI
Chen, Dandan; Chen, Rong On a class of elliptic functions associated with even Dirichlet characters. (English) Zbl 07344930 Ramanujan J. 55, No. 1, 175-203 (2021). MSC: 33E05 14H42 11M36 PDF BibTeX XML Cite \textit{D. Chen} and \textit{R. Chen}, Ramanujan J. 55, No. 1, 175--203 (2021; Zbl 07344930) Full Text: DOI
Gao, Fan Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series. (English) Zbl 07339618 Doc. Math. 26, 465-522 (2021). MSC: 11F70 22E50 PDF BibTeX XML Cite \textit{F. Gao}, Doc. Math. 26, 465--522 (2021; Zbl 07339618) Full Text: DOI
Bruinier, Jan Hendrik; Schwagenscheidt, Markus Theta lifts for Lorentzian lattices and coefficients of mock theta functions. (English) Zbl 07333896 Math. Z. 297, No. 3-4, 1633-1657 (2021). MSC: 11F27 11F37 PDF BibTeX XML Cite \textit{J. H. Bruinier} and \textit{M. Schwagenscheidt}, Math. Z. 297, No. 3--4, 1633--1657 (2021; Zbl 07333896) Full Text: DOI
Bakić, Petar; Hanzer, Marcela Generic representations of metaplectic groups and their theta lifts. (English) Zbl 07333887 Math. Z. 297, No. 3-4, 1421-1465 (2021). MSC: 22E50 11F27 22E55 11F66 11F37 11F70 PDF BibTeX XML Cite \textit{P. Bakić} and \textit{M. Hanzer}, Math. Z. 297, No. 3--4, 1421--1465 (2021; Zbl 07333887) Full Text: DOI
Burson, Hannah Combinatorics of two second-order mock theta functions. (English) Zbl 07330406 Int. J. Number Theory 17, No. 2, 285-295 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 05A17 PDF BibTeX XML Cite \textit{H. Burson}, Int. J. Number Theory 17, No. 2, 285--295 (2021; Zbl 07330406) Full Text: DOI
Charollois, Pierre; Li, Yingkun Erratum to: “Harmonic Maass forms associated to real quadratic fields”. (English) Zbl 07328129 J. Eur. Math. Soc. (JEMS) 23, No. 3, 1051 (2021). MSC: 11F27 11F30 11F37 PDF BibTeX XML Cite \textit{P. Charollois} and \textit{Y. Li}, J. Eur. Math. Soc. (JEMS) 23, No. 3, 1051 (2021; Zbl 07328129) Full Text: DOI
Dittmann, Moritz; Salvati Manni, Riccardo; Scheithauer, Nils R. Harmonic theta series and the Kodaira dimension of \(\mathcal{A}_6\). (English) Zbl 07319561 Algebra Number Theory 15, No. 1, 271-285 (2021). MSC: 11F46 11G 11F27 14J15 14K PDF BibTeX XML Cite \textit{M. Dittmann} et al., Algebra Number Theory 15, No. 1, 271--285 (2021; Zbl 07319561) Full Text: DOI
Hulse, Thomas A.; Kuan, Chan Ieong; Lowry-Duda, David; Walker, Alexander The Laplace transform of the second moment in the Gauss circle problem. (English) Zbl 07319553 Algebra Number Theory 15, No. 1, 1-27 (2021). MSC: 11F30 11E45 11F27 11F37 PDF BibTeX XML Cite \textit{T. A. Hulse} et al., Algebra Number Theory 15, No. 1, 1--27 (2021; Zbl 07319553) Full Text: DOI
Funke, Jens; Hofmann, Eric The construction of Green currents and singular theta lifts for unitary groups. (English) Zbl 07319111 Trans. Am. Math. Soc. 374, No. 4, 2909-2947 (2021). MSC: 11F27 11F55 14C25 PDF BibTeX XML Cite \textit{J. Funke} and \textit{E. Hofmann}, Trans. Am. Math. Soc. 374, No. 4, 2909--2947 (2021; Zbl 07319111) Full Text: DOI
Alfes-Neumann, Claudia; Schwagenscheidt, Markus Shintani theta lifts of harmonic Maass forms. (English) Zbl 1457.11028 Trans. Am. Math. Soc. 374, No. 4, 2297-2339 (2021). MSC: 11F03 11F12 11F27 11F37 PDF BibTeX XML Cite \textit{C. Alfes-Neumann} and \textit{M. Schwagenscheidt}, Trans. Am. Math. Soc. 374, No. 4, 2297--2339 (2021; Zbl 1457.11028) Full Text: DOI
Bouganis, Thanasis On the standard L-function attached to quaternionic modular forms. (English) Zbl 07318740 J. Number Theory 222, 293-345 (2021). MSC: 11F55 11S40 11F27 11M36 PDF BibTeX XML Cite \textit{T. Bouganis}, J. Number Theory 222, 293--345 (2021; Zbl 07318740) Full Text: DOI
Narita, Hiro-Aki Jacquet-Langlands-Shimizu correspondence for theta lifts to \(GSp(2)\) and its inner forms II: an explicit formula for Bessel periods and the non-vanishing of theta lifts. (English) Zbl 07317365 J. Math. Soc. Japan 73, No. 1, 125-159 (2021). MSC: 11F67 11F27 11F30 11F55 PDF BibTeX XML Cite \textit{H.-A. Narita}, J. Math. Soc. Japan 73, No. 1, 125--159 (2021; Zbl 07317365) Full Text: DOI Euclid
Kim, Sun A generalization of the modular equations of higher degrees. (English) Zbl 07313993 J. Comb. Theory, Ser. A 180, Article ID 105420, 15 p. (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 05A19 11F27 05A17 PDF BibTeX XML Cite \textit{S. Kim}, J. Comb. Theory, Ser. A 180, Article ID 105420, 15 p. (2021; Zbl 07313993) Full Text: DOI
Srivastava, H. M.; Kumar, B. R. Srivatsa; Narendra, R. Some modular equations analogous to Ramanujan’s identities. (English) Zbl 1454.11078 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 59, 12 p. (2021). MSC: 11F27 33D15 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 59, 12 p. (2021; Zbl 1454.11078) Full Text: DOI
El Bachraoui, Mohamed Sums of partial theta functions through an extended Bailey transform. (English) Zbl 1456.05017 Bull. Aust. Math. Soc. 103, No. 1, 1-10 (2021). MSC: 05A30 11P84 33D15 PDF BibTeX XML Cite \textit{M. El Bachraoui}, Bull. Aust. Math. Soc. 103, No. 1, 1--10 (2021; Zbl 1456.05017) Full Text: DOI
Marcil, David Numerical verification of a conjecture of Harris and Venkatesh. (English) Zbl 07300442 J. Number Theory 221, 484-495 (2021). MSC: 11F12 11F27 11G16 11F80 PDF BibTeX XML Cite \textit{D. Marcil}, J. Number Theory 221, 484--495 (2021; Zbl 07300442) Full Text: DOI
D’Adderio, Michele; Iraci, Alessandro; Vanden Wyngaerd, Anna Theta operators, refined delta conjectures, and coinvariants. (English) Zbl 1453.05135 Adv. Math. 376, Article ID 107447, 60 p. (2021). MSC: 05E05 05E10 11F27 47B47 PDF BibTeX XML Cite \textit{M. D'Adderio} et al., Adv. Math. 376, Article ID 107447, 60 p. (2021; Zbl 1453.05135) Full Text: DOI
Larsen, Michael Multiplicative series, modular forms, and Mandelbrot polynomials. (English) Zbl 07268662 Math. Comput. 90, No. 327, 345-377 (2021). MSC: 11F25 37F46 30C85 11F27 PDF BibTeX XML Cite \textit{M. Larsen}, Math. Comput. 90, No. 327, 345--377 (2021; Zbl 07268662) Full Text: DOI
Tang, Dazhao; Xia, Ernest. X. W. Several \(q\)-series related to Ramanujan’s theta functions. (English) Zbl 07345294 Ramanujan J. 53, No. 3, 705-724 (2020). MSC: 33D15 11F33 30B10 PDF BibTeX XML Cite \textit{D. Tang} and \textit{Ernest. X. W. Xia}, Ramanujan J. 53, No. 3, 705--724 (2020; Zbl 07345294) Full Text: DOI
Matsuda, Kazuhide Note on a theorem of Farkas and Kra. (English) Zbl 07345239 Ramanujan J. 53, No. 2, 319-356 (2020). MSC: 11F27 14K25 11E25 PDF BibTeX XML Cite \textit{K. Matsuda}, Ramanujan J. 53, No. 2, 319--356 (2020; Zbl 07345239) Full Text: DOI
He, Bing; Zhai, Hongcun Proofs for certain \(q\)-trigonometric identities of Gosper. (English) Zbl 07344469 Sci. China, Math. 63, No. 12, 2415-2422 (2020). MSC: 11F27 33E05 11E25 PDF BibTeX XML Cite \textit{B. He} and \textit{H. Zhai}, Sci. China, Math. 63, No. 12, 2415--2422 (2020; Zbl 07344469) Full Text: DOI
Chaudhary, Mahendra Pal A family of theta-function identities based upon \(R_{\alpha}\), \(R_{\beta}\) and \(R_M\)-functions related to Jacobi’s triple-product identity. (English) Zbl 07337609 Publ. Inst. Math., Nouv. Sér. 108(122), 23-32 (2020). MSC: 11F27 11P83 05A17 05A30 PDF BibTeX XML Cite \textit{M. P. Chaudhary}, Publ. Inst. Math., Nouv. Sér. 108(122), 23--32 (2020; Zbl 07337609) Full Text: DOI
Ntienjem, Ebénézer Evaluation of convolution sums entailing mixed divisor functions for a class of levels. (English) Zbl 07328079 N. Z. J. Math. 50, 125-180 (2020). MSC: 11A25 11F11 11F20 11E20 11E25 11F27 PDF BibTeX XML Cite \textit{E. Ntienjem}, N. Z. J. Math. 50, 125--180 (2020; Zbl 07328079) Full Text: Link
Gan, Wee Teck; Savin, Gordan An exceptional Siegel-Weil formula and poles of the spin L-function of \(\mathrm{PGSp}_6 \). (English) Zbl 07321635 Compos. Math. 156, No. 6, 1231-1261 (2020). MSC: 11F27 11F70 22E50 PDF BibTeX XML Cite \textit{W. T. Gan} and \textit{G. Savin}, Compos. Math. 156, No. 6, 1231--1261 (2020; Zbl 07321635) Full Text: DOI
Bruinier, Jan H.; Howard, Benjamin; Kudla, Stephen S.; Pera, Keerthi Madapusi; Rapoport, Michael; Yang, Tonghai Arithmetic divisors on orthogonal and unitary Shimura varieties. (English) Zbl 07316298 Astérisque 421. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-927-2/pbk). 297 p. (2020). MSC: 11-02 14-02 11G18 14G35 14G40 11F55 11F27 PDF BibTeX XML Cite \textit{J. H. Bruinier} et al., Arithmetic divisors on orthogonal and unitary Shimura varieties. Paris: Société Mathématique de France (SMF) (2020; Zbl 07316298) Full Text: DOI
Brown, Jim; Gunsolus, Beren; Lilly, Jeremy; Manganiello, Felice Hilbert modular forms and codes over \(\mathbb{F}_{p^2}\). (English) Zbl 1456.11077 Finite Fields Appl. 67, Article ID 101731, 19 p. (2020). MSC: 11F41 11H71 11T71 94B65 PDF BibTeX XML Cite \textit{J. Brown} et al., Finite Fields Appl. 67, Article ID 101731, 19 p. (2020; Zbl 1456.11077) Full Text: DOI
Bringmann, Kathrin; Mahlburg, Karl; Milas, Antun Higher depth quantum modular forms and plumbed 3-manifolds. (English) Zbl 07305692 Lett. Math. Phys. 110, No. 10, 2675-2702 (2020). MSC: 11F27 11F37 11F99 14N35 57K10 57R56 PDF BibTeX XML Cite \textit{K. Bringmann} et al., Lett. Math. Phys. 110, No. 10, 2675--2702 (2020; Zbl 07305692) Full Text: DOI
Weisz, F. Summability of Fourier series in periodic Hardy spaces with variable exponent. (English) Zbl 07301201 Acta Math. Hung. 162, No. 2, 557-583 (2020). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42B08 42B30 42A24 42B25 PDF BibTeX XML Cite \textit{F. Weisz}, Acta Math. Hung. 162, No. 2, 557--583 (2020; Zbl 07301201) Full Text: DOI
Rosu, Eugenia; Yott, Dylan Generating series of a new class of orthogonal Shimura varieties. (English) Zbl 07299333 Algebra Number Theory 14, No. 10, 2743-2772 (2020). MSC: 11G18 19E15 PDF BibTeX XML Cite \textit{E. Rosu} and \textit{D. Yott}, Algebra Number Theory 14, No. 10, 2743--2772 (2020; Zbl 07299333) Full Text: DOI
Xiong, Ran On the holomorphy of Eisenstein series attached to maximal lattice of weight two. (English) Zbl 07296160 Pure Appl. Math. 36, No. 2, 201-206 (2020). MSC: 11F11 11F27 11F30 PDF BibTeX XML Cite \textit{R. Xiong}, Pure Appl. Math. 36, No. 2, 201--206 (2020; Zbl 07296160) Full Text: DOI
Andrews, George E. Sequences in partitions, double \(q\)-series and the mock theta function \(\rho_3(q)\). (English) Zbl 07293157 Pillwein, Veronika (ed.) et al., Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17–18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer (ISBN 978-3-030-44558-4/hbk; 978-3-030-44559-1/ebook). Texts & Monographs in Symbolic Computation, 25-45 (2020). MSC: 68W30 PDF BibTeX XML Cite \textit{G. E. Andrews}, in: Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17--18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. 25--45 (2020; Zbl 07293157) Full Text: DOI
Bouarroudj, Sofiane; Hajli, Mounir On the explicit formulas for zeta functions. (English) Zbl 07292731 Math. Methods Appl. Sci. 43, No. 17, 10249-10261 (2020). MSC: 11B99 11F67 11E45 11M35 11M26 11B68 PDF BibTeX XML Cite \textit{S. Bouarroudj} and \textit{M. Hajli}, Math. Methods Appl. Sci. 43, No. 17, 10249--10261 (2020; Zbl 07292731) Full Text: DOI
Barreal, Amaro; Damir, Mohamed Taoufiq; Freij-Hollanti, Ragnar; Hollanti, Camilla An approximation of theta functions with applications to communications. (English) Zbl 1452.11078 SIAM J. Appl. Algebra Geom. 4, No. 4, 471-501 (2020). MSC: 11H06 11F27 11H71 11P21 PDF BibTeX XML Cite \textit{A. Barreal} et al., SIAM J. Appl. Algebra Geom. 4, No. 4, 471--501 (2020; Zbl 1452.11078) Full Text: DOI
Lang, Sabine J. Projective cases for the restriction of the oscillator representation to dual pairs of type I. (English) Zbl 07291157 Pac. J. Math. 308, No. 2, 393-406 (2020). MSC: 11F27 22E50 PDF BibTeX XML Cite \textit{S. J. Lang}, Pac. J. Math. 308, No. 2, 393--406 (2020; Zbl 07291157) Full Text: DOI
Friedberg, Solomon; Ginzburg, David Classical theta lifts for higher metaplectic covering groups. (English) Zbl 07286398 Geom. Funct. Anal. 30, No. 6, 1531-1582 (2020). MSC: 11F27 11F70 20G15 20G10 20E22 20F05 20E32 PDF BibTeX XML Cite \textit{S. Friedberg} and \textit{D. Ginzburg}, Geom. Funct. Anal. 30, No. 6, 1531--1582 (2020; Zbl 07286398) Full Text: DOI
Chern, Shane; Tang, Dazhao Vanishing coefficients in quotients of theta functions of modulus five. (English) Zbl 07282365 Bull. Aust. Math. Soc. 102, No. 3, 387-398 (2020). MSC: 11F27 30B10 PDF BibTeX XML Cite \textit{S. Chern} and \textit{D. Tang}, Bull. Aust. Math. Soc. 102, No. 3, 387--398 (2020; Zbl 07282365) Full Text: DOI
Jennings-Shaffer, Chris; Milas, Antun On \(q\)-series identities for false theta series. (English) Zbl 07281415 Adv. Math. 375, Article ID 107411, 22 p. (2020). MSC: 11F27 11F22 17B69 PDF BibTeX XML Cite \textit{C. Jennings-Shaffer} and \textit{A. Milas}, Adv. Math. 375, Article ID 107411, 22 p. (2020; Zbl 07281415) Full Text: DOI
Wei, Chuanan Partial theta function identities from Wang and Ma’s conjecture. (English) Zbl 1456.05018 J. Difference Equ. Appl. 26, No. 4, 532-539 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 05A30 33D15 PDF BibTeX XML Cite \textit{C. Wei}, J. Difference Equ. Appl. 26, No. 4, 532--539 (2020; Zbl 1456.05018) Full Text: DOI
Nelson, Paul D. Bounds for twisted symmetric square \(L\)-functions via half-integral weight periods. (English) Zbl 1457.11061 Forum Math. Sigma 8, Paper No. e44, 21 p. (2020). MSC: 11F67 11F27 11F37 58J51 PDF BibTeX XML Cite \textit{P. D. Nelson}, Forum Math. Sigma 8, Paper No. e44, 21 p. (2020; Zbl 1457.11061) Full Text: DOI
Bruinier, Jan Hendrik; Schwagenscheidt, Markus A converse theorem for Borcherds products on \(X_0(N)\). (English) Zbl 1453.11057 Nagoya Math. J. 240, 237-256 (2020). MSC: 11F27 11F37 PDF BibTeX XML Cite \textit{J. H. Bruinier} and \textit{M. Schwagenscheidt}, Nagoya Math. J. 240, 237--256 (2020; Zbl 1453.11057) Full Text: DOI
Alfes-Neumann, Claudia; Schwagenscheidt, Markus Traces of reciprocal singular moduli. (English) Zbl 07276215 Bull. Lond. Math. Soc. 52, No. 4, 641-656 (2020). MSC: 11F03 11F11 11F12 11F27 11F30 PDF BibTeX XML Cite \textit{C. Alfes-Neumann} and \textit{M. Schwagenscheidt}, Bull. Lond. Math. Soc. 52, No. 4, 641--656 (2020; Zbl 07276215) Full Text: DOI
Lu, Hengfei The Prasad conjectures for GSp\(_4\) and PGSp\(_4\). (English) Zbl 07275232 Algebra Number Theory 14, No. 9, 2417-2480 (2020). MSC: 22E50 11F27 PDF BibTeX XML Cite \textit{H. Lu}, Algebra Number Theory 14, No. 9, 2417--2480 (2020; Zbl 07275232) Full Text: DOI
Li, Yingkun; Yang, Tonghai On a conjecture of Yui and Zagier. (English) Zbl 07275226 Algebra Number Theory 14, No. 8, 2197-2238 (2020). MSC: 11G18 11F03 11F27 PDF BibTeX XML Cite \textit{Y. Li} and \textit{T. Yang}, Algebra Number Theory 14, No. 8, 2197--2238 (2020; Zbl 07275226) Full Text: DOI
Shruthi; Kumar, B. R. Srivatsa Some new Eisenstein series containing the Borweins’ cubic theta functions and convolution sum \(\sum_{i+4j=n} \sigma (i)\sigma (j)\). (English) Zbl 07274460 Afr. Mat. 31, No. 5-6, 971-982 (2020). MSC: 11F11 11A25 11F27 14K25 PDF BibTeX XML Cite \textit{Shruthi} and \textit{B. R. S. Kumar}, Afr. Mat. 31, No. 5--6, 971--982 (2020; Zbl 07274460) Full Text: DOI
Wernz, Annalena Hermitian theta series and Maaß spaces under the action of the maximal discrete extension of the Hermitian modular group. (English) Zbl 1457.11055 Result. Math. 75, No. 4, Paper No. 163, 9 p. (2020). MSC: 11F55 11F27 PDF BibTeX XML Cite \textit{A. Wernz}, Result. Math. 75, No. 4, Paper No. 163, 9 p. (2020; Zbl 1457.11055) Full Text: DOI
Li, Yingkun; Narita, Hiro-aki; Pitale, Ameya An explicit construction of non-tempered cusp forms on \(O(1,8n+1)\). (English. French summary) Zbl 07270811 Ann. Math. Qué. 44, No. 2, 349-384 (2020). MSC: 11F27 11F55 11F70 PDF BibTeX XML Cite \textit{Y. Li} et al., Ann. Math. Qué. 44, No. 2, 349--384 (2020; Zbl 07270811) Full Text: DOI
Ishimoto, Hiroshi Local intertwining relation for metaplectic groups. (English) Zbl 07270074 Compos. Math. 156, No. 8, 1560-1594 (2020). MSC: 11F27 11F85 PDF BibTeX XML Cite \textit{H. Ishimoto}, Compos. Math. 156, No. 8, 1560--1594 (2020; Zbl 07270074) Full Text: DOI
Zhang, Zhizheng; Song, Hanfei The \(2\)-fold Bailey lemma and mock theta functions. (English) Zbl 07261877 Rocky Mt. J. Math. 50, No. 4, 1491-1496 (2020). MSC: 11B65 11F03 11F27 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{H. Song}, Rocky Mt. J. Math. 50, No. 4, 1491--1496 (2020; Zbl 07261877) Full Text: DOI Euclid
Zhang, Yichao Half-integral weight modular forms and modular forms for Weil representations. (English) Zbl 1454.11087 Manuscr. Math. 163, No. 3-4, 507-536 (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 11F27 PDF BibTeX XML Cite \textit{Y. Zhang}, Manuscr. Math. 163, No. 3--4, 507--536 (2020; Zbl 1454.11087) Full Text: DOI
He, Bing; He, Fuli; Zhai, Hongcun Proof for a \(q\)-trigonometric identity of Gosper. (English) Zbl 1443.11043 Mediterr. J. Math. 17, No. 5, Paper No. 161, 8 p. (2020). MSC: 11F27 33E05 PDF BibTeX XML Cite \textit{B. He} et al., Mediterr. J. Math. 17, No. 5, Paper No. 161, 8 p. (2020; Zbl 1443.11043) Full Text: DOI
Zhang, Zhizheng; Song, Hanfei Some further Hecke-type identities. (English) Zbl 1453.11054 Int. J. Number Theory 16, No. 9, 1945-1967 (2020). MSC: 11F03 11B65 11F27 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{H. Song}, Int. J. Number Theory 16, No. 9, 1945--1967 (2020; Zbl 1453.11054) Full Text: DOI
Möller, Martin; Torres-Teigell, David Euler characteristics of gothic Teichmüller curves. (English) Zbl 07256604 Geom. Topol. 24, No. 3, 1149-1210 (2020). MSC: 32G15 11F27 11F46 37D40 PDF BibTeX XML Cite \textit{M. Möller} and \textit{D. Torres-Teigell}, Geom. Topol. 24, No. 3, 1149--1210 (2020; Zbl 07256604) Full Text: DOI
Rawat, Pramod Kumar On generalized eighth order mock theta functions. (English) Zbl 1443.11046 Ural Math. J. 6, No. 1, 137-146 (2020). MSC: 11F27 33D15 PDF BibTeX XML Cite \textit{P. K. Rawat}, Ural Math. J. 6, No. 1, 137--146 (2020; Zbl 1443.11046) Full Text: DOI MNR
Shruthi; Srivatsa Kumar, B. R. Explicit evaluation of some of the theta-function identities. (English) Zbl 07254906 Miskolc Math. Notes 21, No. 1, 387-400 (2020). MSC: 11F27 PDF BibTeX XML Cite \textit{Shruthi} and \textit{B. R. Srivatsa Kumar}, Miskolc Math. Notes 21, No. 1, 387--400 (2020; Zbl 07254906) Full Text: DOI
Smirnov, A. L. Eisenstein’s program and modular forms. (English. Russian original) Zbl 1451.11032 J. Math. Sci., New York 249, No. 1, 104-111 (2020); translation from Zap. Nauchn. Semin. POMI 479, 160-170 (2019). MSC: 11F27 11F11 11P21 11E41 PDF BibTeX XML Cite \textit{A. L. Smirnov}, J. Math. Sci., New York 249, No. 1, 104--111 (2020; Zbl 1451.11032); translation from Zap. Nauchn. Semin. POMI 479, 160--170 (2019) Full Text: DOI
Prabhakaran, Devasirvatham John; Kumar, Kumar Ranjith The explicit formulae and evaluations of Ramanujan’s remarkable product of theta-functions. (English) Zbl 1443.11045 Taiwanese J. Math. 24, No. 3, 545-551 (2020). MSC: 11F27 33D15 11F20 14K25 PDF BibTeX XML Cite \textit{D. J. Prabhakaran} and \textit{K. R. Kumar}, Taiwanese J. Math. 24, No. 3, 545--551 (2020; Zbl 1443.11045) Full Text: DOI Euclid
He, Bing Proofs for certain \(\Pi_q\)-identities of W. Gosper. (English) Zbl 07248311 J. Math. Anal. Appl. 492, No. 2, Article ID 124486, 14 p. (2020). MSC: 11F27 33D05 PDF BibTeX XML Cite \textit{B. He}, J. Math. Anal. Appl. 492, No. 2, Article ID 124486, 14 p. (2020; Zbl 07248311) Full Text: DOI
Beals, Richard; Wong, Roderick S. C. Explorations in complex functions. (English) Zbl 07243222 Graduate Texts in Mathematics 287. Cham: Springer (ISBN 978-3-030-54532-1/hbk; 978-3-030-54533-8/ebook). xvi, 353 p. (2020). Reviewer: Heinrich Begehr (Berlin) MSC: 30-01 33-01 42-01 46-01 30Axx 30Bxx 30Cxx 30Dxx PDF BibTeX XML Cite \textit{R. Beals} and \textit{R. S. C. Wong}, Explorations in complex functions. Cham: Springer (2020; Zbl 07243222) Full Text: DOI
Williams, Brandon A construction of antisymmetric modular forms for Weil representations. (English) Zbl 07242449 Math. Z. 296, No. 1-2, 391-408 (2020). MSC: 11F27 11F55 11F55 17B67 11F22 11F32 14M15 PDF BibTeX XML Cite \textit{B. Williams}, Math. Z. 296, No. 1--2, 391--408 (2020; Zbl 07242449) Full Text: DOI
Bahraminasab, Mohammad Reza; Ghominejad, Mehrdad \(N = 2\) superconformal characters as the residue of \(\widehat{sl} (2\mid 1 )\) affine Lie superalgebra characters by defining a new vocabulary for Jacobi theta functions. (English) Zbl 1450.17011 J. Geom. Phys. 156, Article ID 103804, 10 p. (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 17B81 11F27 30F35 33C80 33E05 81T40 PDF BibTeX XML Cite \textit{M. R. Bahraminasab} and \textit{M. Ghominejad}, J. Geom. Phys. 156, Article ID 103804, 10 p. (2020; Zbl 1450.17011) Full Text: DOI
Hu, Qiuxia On four new mock theta functions. (English) Zbl 1457.11049 Bull. Korean Math. Soc. 57, No. 2, 345-354 (2020). MSC: 11F37 11B65 11F27 33D15 PDF BibTeX XML Cite \textit{Q. Hu}, Bull. Korean Math. Soc. 57, No. 2, 345--354 (2020; Zbl 1457.11049) Full Text: DOI
Cheng, Miranda C. N.; Duncan, John F. R. Optimal mock Jacobi theta functions. (English) Zbl 07232805 Adv. Math. 372, Article ID 107284, 59 p. (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F11 11F27 11F37 11F50 PDF BibTeX XML Cite \textit{M. C. N. Cheng} and \textit{J. F. R. Duncan}, Adv. Math. 372, Article ID 107284, 59 p. (2020; Zbl 07232805) Full Text: DOI
Gurevich, Shamgar; Howe, Roger Rank and duality in representation theory. (English) Zbl 07227829 Jpn. J. Math. (3) 15, No. 2, 223-309 (2020). MSC: 11F27 20C33 20C35 22E50 PDF BibTeX XML Cite \textit{S. Gurevich} and \textit{R. Howe}, Jpn. J. Math. (3) 15, No. 2, 223--309 (2020; Zbl 07227829) Full Text: DOI
Wakhare, Tanay; Vignat, Christophe Taylor coefficients of the Jacobi \(\theta_3(q)\) function. (English) Zbl 1456.11066 J. Number Theory 216, 280-306 (2020). MSC: 11F27 PDF BibTeX XML Cite \textit{T. Wakhare} and \textit{C. Vignat}, J. Number Theory 216, 280--306 (2020; Zbl 1456.11066) Full Text: DOI
Wakhare, Tanay Romik’s conjecture for the Jacobi theta function. (English) Zbl 07226727 J. Number Theory 215, 275-296 (2020). MSC: 11F27 PDF BibTeX XML Cite \textit{T. Wakhare}, J. Number Theory 215, 275--296 (2020; Zbl 07226727) Full Text: DOI
Xiong, Wei On the Siegel-Weil formula for classical groups over function fields. (English) Zbl 07226717 J. Number Theory 215, 52-97 (2020). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F27 11F55 PDF BibTeX XML Cite \textit{W. Xiong}, J. Number Theory 215, 52--97 (2020; Zbl 07226717) Full Text: DOI
Matsuda, Kazuhide Differential equations involving cubic theta functions and Eisenstein series. (English) Zbl 07224919 Osaka J. Math. 57, No. 3, 521-542 (2020). MSC: 11F27 11F11 14K25 34A25 PDF BibTeX XML Cite \textit{K. Matsuda}, Osaka J. Math. 57, No. 3, 521--542 (2020; Zbl 07224919) Full Text: Euclid
Pal, Aprameyo; De Vera-Piquero, Carlos Automorphic \(\mathrm{SL}_2\)-periods and the subconvexity problem for \(\mathrm{GL}_2\times\mathrm{GL}_3\). (English) Zbl 07224181 Mathematika 66, No. 4, 855-899 (2020). MSC: 11F27 11F37 11F67 PDF BibTeX XML Cite \textit{A. Pal} and \textit{C. De Vera-Piquero}, Mathematika 66, No. 4, 855--899 (2020; Zbl 07224181) Full Text: DOI
Yamana, Shunsuke On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms. (English) Zbl 07222173 Trans. Am. Math. Soc. 373, No. 8, 5395-5438 (2020). MSC: 11F11 11F30 11F55 11F27 11F70 PDF BibTeX XML Cite \textit{S. Yamana}, Trans. Am. Math. Soc. 373, No. 8, 5395--5438 (2020; Zbl 07222173) Full Text: DOI
Wu, Hai-Liang; Sun, Zhi-Wei On the 1-3-5 conjecture and related topics. (English) Zbl 07221794 Acta Arith. 193, No. 3, 253-268 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11D85 11E20 11F27 11F37 PDF BibTeX XML Cite \textit{H.-L. Wu} and \textit{Z.-W. Sun}, Acta Arith. 193, No. 3, 253--268 (2020; Zbl 07221794) Full Text: DOI
Lu, Hengfei The distinction problem for metaplectic case. (English) Zbl 1446.11091 Int. J. Number Theory 16, No. 6, 1161-1183 (2020). MSC: 11F55 11F27 11F70 22E50 PDF BibTeX XML Cite \textit{H. Lu}, Int. J. Number Theory 16, No. 6, 1161--1183 (2020; Zbl 1446.11091) Full Text: DOI
Zhao, Yue A modular proof of two of Ramanujan’s formulae for \(1/ \pi\). (English) Zbl 1448.11083 J. Aust. Math. Soc. 109, No. 1, 131-144 (2020). Reviewer: Tim Huber (Edinburg) MSC: 11F03 11F20 11F27 PDF BibTeX XML Cite \textit{Y. Zhao}, J. Aust. Math. Soc. 109, No. 1, 131--144 (2020; Zbl 1448.11083) Full Text: DOI
Bétermin, Laurent On a lattice generalisation of the logarithm and a deformation of the Dedekind eta function. (English) Zbl 1455.11070 Bull. Aust. Math. Soc. 102, No. 1, 118-125 (2020). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F20 33E20 49K30 PDF BibTeX XML Cite \textit{L. Bétermin}, Bull. Aust. Math. Soc. 102, No. 1, 118--125 (2020; Zbl 1455.11070) Full Text: DOI
Sun, Zhi-Hong Transformation formulas for the number of representations of \(n\) by linear combinations of four triangular numbers. (English) Zbl 07218766 Bull. Aust. Math. Soc. 102, No. 1, 39-49 (2020). MSC: 11D85 11E20 11E25 30B10 33E20 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Bull. Aust. Math. Soc. 102, No. 1, 39--49 (2020; Zbl 07218766) Full Text: DOI
Mao, Renrong Arithmetic properties of coefficients of the mock theta function \(B(q)\). (English) Zbl 1448.11184 Bull. Aust. Math. Soc. 102, No. 1, 50-58 (2020). Reviewer: Dazhao Tang (Chongqing) MSC: 11P83 05A17 PDF BibTeX XML Cite \textit{R. Mao}, Bull. Aust. Math. Soc. 102, No. 1, 50--58 (2020; Zbl 1448.11184) Full Text: DOI
Martin, Kimball The basis problem revisited. (English) Zbl 07215108 Trans. Am. Math. Soc. 373, No. 7, 4523-4559 (2020). MSC: 11F27 11F41 11F70 PDF BibTeX XML Cite \textit{K. Martin}, Trans. Am. Math. Soc. 373, No. 7, 4523--4559 (2020; Zbl 07215108) Full Text: DOI
Alfes-Neumann, Claudia Modular forms. Fundamental tools of mathematics. (Modulformen. Fundamentale Werkzeuge der Mathematik.) (German) Zbl 07212600 Essentials. Wiesbaden: Springer Spektrum (ISBN 978-3-658-30191-0/pbk; 978-3-658-30192-7/ebook). vii, 41 p. (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11F11 11F37 PDF BibTeX XML Cite \textit{C. Alfes-Neumann}, Modulformen. Fundamentale Werkzeuge der Mathematik. Wiesbaden: Springer Spektrum (2020; Zbl 07212600) Full Text: DOI
Candelori, Luca The algebraic functional equation of Riemann’s theta function. (L’équation fonctionnelle algébrique de la fonction thêta de Riemann.) (English. French summary) Zbl 07210771 Ann. Inst. Fourier 70, No. 2, 809-830 (2020). MSC: 11F03 11F27 11G10 PDF BibTeX XML Cite \textit{L. Candelori}, Ann. Inst. Fourier 70, No. 2, 809--830 (2020; Zbl 07210771) Full Text: DOI
Hu, Guangwei; Jiang, Yujiao; Lü, Guangshi The Fourier coefficients of \(\Theta \)-series in arithmetic progressions. (English) Zbl 07209602 Mathematika 66, No. 1, 39-55 (2020). MSC: 11F27 11F30 11E25 11F11 PDF BibTeX XML Cite \textit{G. Hu} et al., Mathematika 66, No. 1, 39--55 (2020; Zbl 07209602) Full Text: DOI
Williams, Brandon The rings of Hilbert modular forms for \(\mathbb{Q}(\sqrt{ 29})\) and \(\mathbb{Q}(\sqrt{ 37})\). (English) Zbl 1455.11074 J. Algebra 559, 679-711 (2020). MSC: 11F27 11F41 PDF BibTeX XML Cite \textit{B. Williams}, J. Algebra 559, 679--711 (2020; Zbl 1455.11074) Full Text: DOI
Tsushima, Takahiro On extended Weil representation for finite general linear group and Howe correspondence. (English) Zbl 07209575 J. Algebra 559, 129-160 (2020). MSC: 20C33 11F27 PDF BibTeX XML Cite \textit{T. Tsushima}, J. Algebra 559, 129--160 (2020; Zbl 07209575) Full Text: DOI
Cakalli, Huseyin; Et, Mikail; Şengül, Hacer A variation on \(N_\theta\) ward continuity. (English) Zbl 1452.26005 Georgian Math. J. 27, No. 2, 191-197 (2020). Reviewer: Ljubiša D. Kočinac (Niš) MSC: 26A15 40A05 40A30 40A35 PDF BibTeX XML Cite \textit{H. Cakalli} et al., Georgian Math. J. 27, No. 2, 191--197 (2020; Zbl 1452.26005) Full Text: DOI
Chan, Charlotte Period identities of CM forms on quaternion algebras. (English) Zbl 07205612 Forum Math. Sigma 8, Article ID e25, 75 p. (2020). MSC: 11F67 11F27 11R52 PDF BibTeX XML Cite \textit{C. Chan}, Forum Math. Sigma 8, Article ID e25, 75 p. (2020; Zbl 07205612) Full Text: DOI
Chan, Heng Huat Theta functions, elliptic functions and \(\pi\). (English) Zbl 07205600 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-054071-0/pbk; 978-3-11-054191-5/ebook). xvi, 122 p. (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11F03 33D15 33E05 33C75 14H42 PDF BibTeX XML Cite \textit{H. H. Chan}, Theta functions, elliptic functions and \(\pi\). Berlin: De Gruyter (2020; Zbl 07205600) Full Text: DOI
Lu, Hengfei Some applications of theta correspondence to branching laws. (English) Zbl 1453.11066 Math. Res. Lett. 27, No. 1, 243-263 (2020). MSC: 11F70 11F27 22E50 PDF BibTeX XML Cite \textit{H. Lu}, Math. Res. Lett. 27, No. 1, 243--263 (2020; Zbl 1453.11066)
Longo, Matteo; Nicole, Marc-Hubert \(\Lambda\)-adic families of Jacobi forms. (English) Zbl 07204096 Res. Number Theory 6, No. 2, Paper No. 21, 24 p. (2020). Reviewer: G. K. Sankaran (Bath) MSC: 11F85 11F27 11F50 PDF BibTeX XML Cite \textit{M. Longo} and \textit{M.-H. Nicole}, Res. Number Theory 6, No. 2, Paper No. 21, 24 p. (2020; Zbl 07204096) Full Text: DOI
Steiner, Raphael S. Sup-norm of Hecke-Laplace eigenforms on \(S^3\). (English) Zbl 1445.11042 Math. Ann. 377, No. 1-2, 543-553 (2020). Reviewer: Laurent Guillopé (Nantes) MSC: 11F72 11F27 58J50 PDF BibTeX XML Cite \textit{R. S. Steiner}, Math. Ann. 377, No. 1--2, 543--553 (2020; Zbl 1445.11042) Full Text: DOI
Ballantine, Cristina; Merca, Mircea Bisected theta series, least \(r\)-gaps in partitions, and polygonal numbers. (English) Zbl 1439.05023 Ramanujan J. 52, No. 2, 433-444 (2020). MSC: 05A17 11P83 PDF BibTeX XML Cite \textit{C. Ballantine} and \textit{M. Merca}, Ramanujan J. 52, No. 2, 433--444 (2020; Zbl 1439.05023) Full Text: DOI
Romik, Dan The Taylor coefficients of the Jacobi theta constant \(\theta_3\). (English) Zbl 07202103 Ramanujan J. 52, No. 2, 275-290 (2020). MSC: 11F27 11F37 14K25 30B10 PDF BibTeX XML Cite \textit{D. Romik}, Ramanujan J. 52, No. 2, 275--290 (2020; Zbl 07202103) Full Text: DOI
Arnold-Roksandich, Allison; Diaz, Brian; Ellefsen, Erin; Swisher, Holly Extending a catalog of mock and quantum modular forms to an infinite class. (English) Zbl 1448.11102 Res. Number Theory 6, No. 2, Paper No. 17, 20 p. (2020). MSC: 11F99 11F37 11F27 PDF BibTeX XML Cite \textit{A. Arnold-Roksandich} et al., Res. Number Theory 6, No. 2, Paper No. 17, 20 p. (2020; Zbl 1448.11102) Full Text: DOI
Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Zeta-functions of root systems and Poincaré polynomials of Weyl groups. (English) Zbl 1450.11092 Tohoku Math. J. (2) 72, No. 1, 87-126 (2020). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M41 11B68 11F27 11M32 11M99 PDF BibTeX XML Cite \textit{Y. Komori} et al., Tohoku Math. J. (2) 72, No. 1, 87--126 (2020; Zbl 1450.11092) Full Text: DOI Euclid
Charollois, Pierre; Li, Yingkun Harmonic Maass forms associated to real quadratic fields. (English) Zbl 07198104 J. Eur. Math. Soc. (JEMS) 22, No. 4, 1115-1148 (2020); erratum ibid. 23, No. 3, 1051 (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F27 11F30 11F37 PDF BibTeX XML Cite \textit{P. Charollois} and \textit{Y. Li}, J. Eur. Math. Soc. (JEMS) 22, No. 4, 1115--1148 (2020; Zbl 07198104) Full Text: DOI
Spiliotis, Evangelos; Assimakopoulos, Vassilios; Makridakis, Spyros Generalizing the Theta method for automatic forecasting. (English) Zbl 1441.62247 Eur. J. Oper. Res. 284, No. 2, 550-558 (2020). MSC: 62M20 PDF BibTeX XML Cite \textit{E. Spiliotis} et al., Eur. J. Oper. Res. 284, No. 2, 550--558 (2020; Zbl 1441.62247) Full Text: DOI
Vasuki, K. R.; Mahadevaswamy Classical approach to Ramanujan’s modular equations of septic degree. (English) Zbl 1445.11030 Ramanujan J. 51, No. 3, 553-561 (2020). MSC: 11F20 11F27 33C05 PDF BibTeX XML Cite \textit{K. R. Vasuki} and \textit{Mahadevaswamy}, Ramanujan J. 51, No. 3, 553--561 (2020; Zbl 1445.11030) Full Text: DOI
Kostov, Vladimir Petrov Partial theta function and separation in modulus property of its zeros. (English) Zbl 1446.11070 Vietnam J. Math. 48, No. 1, 145-157 (2020). MSC: 11F27 30C15 PDF BibTeX XML Cite \textit{V. P. Kostov}, Vietnam J. Math. 48, No. 1, 145--157 (2020; Zbl 1446.11070) Full Text: DOI
Baruah, Nayandeep Deka; Kaur, Mandeep; Kim, Mingyu; Oh, Byeong-Kweon Proofs of some conjectures of Z. -H. Sun on relations between sums of squares and sums of triangular numbers. (English) Zbl 07187876 Indian J. Pure Appl. Math. 51, No. 1, 11-38 (2020). MSC: 11D85 11E20 11E25 33E20 PDF BibTeX XML Cite \textit{N. D. Baruah} et al., Indian J. Pure Appl. Math. 51, No. 1, 11--38 (2020; Zbl 07187876) Full Text: DOI