Generalizations of some conjectures of Chan on congruences for Appell-Lerch sums

DOI10.1016/j.jmaa.2017.11.035zbMath1439.11061OpenAlexW2770791247WikidataQ122905815 ScholiaQ122905815MaRDI QIDQ1688832

Peng Zhang

Publication date: 11 January 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.035

zbMATH Keywords

theta functioncongruenceAppell-Lerch sumsgeneralized Lambert series

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Convergence and divergence of series and sequences (40A05) Sequences (mod (m)) (11B50)

Related Items (8)

On second order mock theta function \(B(q)\) ⋮ ARITHMETIC PROPERTIES OF COEFFICIENTS OF THE MOCK THETA FUNCTION ⋮ Parity of coefficients of mock theta functions ⋮ Proofs of some conjectures of Chan on Appell-Lerch sums ⋮ 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 ⋮ Proofs of conjectures of Chan for \(d(n)\)

Cites Work

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• Analogues of Ramanujan's partition identities
• Congruences modulo 9 and 27 for overpartitions
• TWO CONGRUENCES FOR APPELL–LERCH SUMS
• Congruences for Ramanujan's φ function

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