Generalisation of the Asai-Kaneko-Ninomiya identity to higher level

Bhand, Ajit; Singh, Ranveer Kumar

doi:10.1016/j.jmaa.2024.128849

Title: Generalisation of the Asai-Kaneko-Ninomiya identity to higher level

Journal Article · 01 February 2025 · Journal of Mathematical Analysis and Applications

DOI: https://doi.org/10.1016/j.jmaa.2024.128849 · OSTI ID:2447663

Bhand, Ajit; Singh, Ranveer Kumar

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010008

OSTI ID:: 2447663

Journal Information:: Journal of Mathematical Analysis and Applications, Journal Name: Journal of Mathematical Analysis and Applications Journal Issue: 2 Vol. 542; ISSN 0022-247X

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Monstrous moonshine and monstrous Lie superalgebras Borcherds, Richard E. Inventiones Mathematicae, Vol. 109, Issue 1 https://doi.org/10.1007/BF01232032	journal	December 1992
On the Generating Function of a Canonical Basis for ${{M_{0}^{!,\infty }(\Gamma )}}$ Ye, Dongxi Results in Mathematics, Vol. 74 https://doi.org/10.1007/s00025-019-1001-3	journal	March 2019
The Hecke system of harmonic Maass functions and applications to modular curves of higher genera Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon The Ramanujan Journal, Vol. 62, Issue 3 https://doi.org/10.1007/s11139-022-00689-8	journal	February 2023
Difference of a Hauptmodul for Γ0(N) and certain Gross-Zagier type CM value formulas Ye, Dongxi Science China Mathematics, Vol. 65, Issue 2 https://doi.org/10.1007/s11425-019-1830-3	journal	May 2021
On divisors of modular forms Bringmann, Kathrin; Kane, Ben; Löbrich, Steffen Advances in Mathematics, Vol. 329, p. 541-554 https://doi.org/10.1016/j.aim.2018.02.001	journal	February 2018
Values of harmonic weak Maass forms on Hecke orbits Choi, Dohoon; Lee, Min; Lim, Subong Journal of Mathematical Analysis and Applications, Vol. 477, Issue 2, p. 1046-1062 https://doi.org/10.1016/j.jmaa.2019.04.074	journal	September 2019
Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products von Pippich, Anna-Maria; Schwagenscheidt, Markus; Volz, Fabian Journal of Number Theory, Vol. 225, p. 18-58 https://doi.org/10.1016/j.jnt.2021.01.010	journal	February 2021
A class of nonanalytic automorphic functions Niebur, Douglas Nagoya Mathematical Journal, Vol. 52 https://doi.org/10.1017/S0027763000015932	journal	December 1973
Petersson'S Conjecture for cusp Forms of Weight zero and Linnik'S Conjecture. sums of Kloosterman sums Kuznecov, N. V. Mathematics of the USSR-Sbornik, Vol. 39, Issue 3 https://doi.org/10.1070/SM1981v039n03ABEH001518	journal	April 1981
Poincaré series and the divisors of modular forms Choi, D. Proceedings of the American Mathematical Society, Vol. 138, Issue 10 https://doi.org/10.1090/S0002-9939-2010-10133-8	journal	June 2010
The arithmetic of the values of modular functions and the divisors of modular forms Bruinier, Jan H.; Kohnen, Winfried; Ono, Ken Compositio Mathematica, Vol. 140, Issue 03 https://doi.org/10.1112/S0010437X03000721	journal	May 2004
Traces of singular values of Hauptmoduln Beneish, Lea; Larson, Hannah International Journal of Number Theory, Vol. 11, Issue 03 https://doi.org/10.1142/S1793042115500542	journal	March 2015
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