Non-Existence of Ramanujan Congruences in Modular Forms of Level Four

DOI10.4153/CJM-2011-027-xzbMath1269.11046arXiv0910.0065OpenAlexW3105800061MaRDI QIDQ3102972

Michael Dewar

Publication date: 25 November 2011

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0065

zbMATH Keywords

crankmodular formgeneralized Frobenius partitionoverpartitiontheta operatorTate cyclesRamanujan congruence

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Related Items (8)

The image and kernel of Atkin’s 𝑈_{𝑝} operator modulo 𝑝 ⋮ Ramanujan congruences for overpartitions with restricted odd differences ⋮ Ramanujan type identities and congruences for partition pairs ⋮ The method of constant terms and \(k\)-colored generalized Frobenius partitions ⋮ The Andrews-Sellers family of partition congruences ⋮ Incongruences for modular forms and applications to partition functions ⋮ Congruences in Hermitian Jacobi and Hermitian modular forms ⋮ Congruences for modular forms and generalized Frobenius partitions

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