Modular forms and $k$-colored generalized Frobenius partitions

DOI10.1090/tran/7447zbMath1402.05007arXiv1706.03020OpenAlexW2626805016MaRDI QIDQ4644965

Heng Huat Chan, Yifan Yang, Liuquan Wang

Publication date: 9 January 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03020

zbMATH Keywords

generating functionscongruencestheta functionsgeneralized Frobenius partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Modular and automorphic functions (11F03) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Related Items (12)

N-colored generalized Frobenius partitions: generalized Kolitsch identities ⋮ ON THE PARITY OF THE GENERALISED FROBENIUS PARTITION FUNCTIONS ⋮ Congruences for a class of eta-quotients and their applications ⋮ Congruences for generalized Frobenius partitions with 6 colors ⋮ Generalized Frobenius partitions, Motzkin paths, and Jacobi forms ⋮ Generalisations of Capparelli's and Primc's identities. I: Coloured Frobenius partitions and combinatorial proofs ⋮ The method of constant terms and \(k\)-colored generalized Frobenius partitions ⋮ Incongruences for modular forms and applications to partition functions ⋮ Ramanujan’s convolution sum twisted by Dirichlet characters ⋮ Congruences modulo powers of 3 for 3- and 9-colored generalized Frobenius partitions ⋮ Congruences modulo powers of 2 for generalized Frobenius partitions with six colors ⋮ Congruences for modular forms and generalized Frobenius partitions

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