Ramanujan type congruences for quotients of level 7 Klein forms

DOI10.1016/j.jnt.2020.11.003zbMath1465.11096OpenAlexW3110836620MaRDI QIDQ1998895

Timothy Huber, Dongxi Ye

Publication date: 9 March 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://scholarworks.utrgv.edu/mss_fac/123

zbMATH Keywords

\(t\)-core partitionKlein formRamanujan type congruence

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• A modularity criterion for Klein forms, with an application to modular forms of level 13
• Congruences for \(t\)-core partition functions
• Arithmetical properties of the number of \(t\)-core partitions
• A theory of theta functions to the quintic base
• New identities for 7-cores with prescribed BG-rank
• Cranks and t-cores
• MODULI INTERPRETATION OF EISENSTEIN SERIES
• Congruence properties of pk(n)
• Balanced Modular Parameterizations
• Congruences for \(2^t\)-core partition functions

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