Nonzero coefficients of half-integral weight modular forms mod \(\ell \)

DOI10.1007/s40687-018-0123-7zbMath1465.11114arXiv1704.07440OpenAlexW2962897870MaRDI QIDQ2319735

Ben Green, Joël Bellaïche, Kannan Soundararajan

Publication date: 20 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07440

zbMATH Keywords

partition functionmodular formcongruencesdensityhalf-integral weightcoefficientstheta-functionproportion

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30)

Related Items (13)

Odd values of the Rogers-Ramanujan functions ⋮ Parity of the coefficients of certain eta-quotients ⋮ On the parity of the number of (a,b,m)-copartitions of n ⋮ On the number of even values of an eta-quotient ⋮ Scarcity of congruences for the partition function ⋮ On the density of the odd values of the partition function. II: An infinite conjectural framework ⋮ Parity of coefficients of mock theta functions ⋮ Deducing the positive odd density of \(p(n)\) from that of a multipartition function: an unconditional proof ⋮ On the density of the odd values of the partition function and the \(t\)-multipartition function ⋮ Congruences for level $1$ cusp forms of half-integral weight ⋮ Parity of Schur's partition function ⋮ On Fourier coefficients of elliptic modular forms \(\bmod\ell\) with applications to Siegel modular forms ⋮ Odd values of partition functions related to binary quadratic forms

Cites Work

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• Parity of the coefficients of Klein’s $j$-function
• The Eigenbook

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