Hecke nilpotency for modular forms \(\bmod\, 2\) and an application to partition numbers

DOI10.1007/s11139-023-00720-6arXiv2207.14768OpenAlexW4377098434MaRDI QIDQ6060213

Catherine Cossaboom, Sharon Zhou

Publication date: 3 November 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14768

zbMATH Keywords

modular formspartition functionsHecke algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11)

Cites Work

• Parity of the coefficients of modular forms
• The nilpotence order of the mod 2 Hecke operators
• Modular forms mod 2: structure of the Hecke ring
• Eine Verallgemeinerung der Abelschen Integrale
• On integrals attached to automorphic forms
• Divisibilite de certaines fonctions arithmétiques
• La conjecture de Weil. I
• A proof of Subbarao's conjecture
• PARITY OF THE PARTITION FUNCTION IN ARITHMETIC PROGRESSIONS, II
• Formes modulaires de poids $1$
• Parity of the partition function in arithmetic progressions.
• On the Distribution of Parity in the Partition Function
• Some Remarks on the Partition Function
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