Congruences for Ramanujan's φ function

DOI10.4064/aa153-2-3zbMath1264.11089OpenAlexW2033042168MaRDI QIDQ3224862

Song Heng Chan

Publication date: 2 April 2012

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa153-2-3

zbMATH Keywords

congruencesrankspartition functions\(q\)-identitiesoverpartitions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (17)

Effective congruences for mock theta functions ⋮ Generalizations of some conjectures of Chan on congruences for Appell-Lerch sums ⋮ Congruences for the coefficients of the mock theta function \(\beta (q)\) ⋮ On recursions for coefficients of mock theta functions ⋮ FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS ⋮ OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION ⋮ New congruence properties for Ramanujan’s 𝜙 function ⋮ Variations of Andrews-Beck type congruences ⋮ Ranks of partitions modulo 10 ⋮ Proofs of some conjectures of Chan on Appell-Lerch sums ⋮ On certain explicit congruences for mock theta functions ⋮ Newman's identities, lucas sequences and congruences for certain partition functions ⋮ Arithmetic properties for Appell-Lerch sums ⋮ Two identities on the mock theta function \(V_0(q)\) ⋮ Proof of a conjectural congruence of Chan for Appell–Lerch sums ⋮ The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10 ⋮ Proofs of conjectures of Chan for \(d(n)\)

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