Arithmetic properties for Appell-Lerch sums

DOI10.1007/S11139-021-00497-6zbMath1503.11135OpenAlexW3208017284MaRDI QIDQ2054700

Ernest X. W. Xia, W. H. Ding

Publication date: 3 December 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-021-00497-6

zbMATH Keywords

congruenceAppell-Lerch sumsgeneralized Lambert series

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (3)

Vanishing coefficients in three families of products of theta functions. II ⋮ Proofs of some conjectures of Chan on Appell-Lerch sums ⋮ Proofs of conjectures of Chan for \(d(n)\)

Cites Work

• Analogues of Ramanujan's partition identities
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Generalizations of some conjectures of Chan on congruences for Appell-Lerch sums
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Ramanujan’s “Most Beautiful Identity”
• TWO CONGRUENCES FOR APPELL–LERCH SUMS
• Congruences for Ramanujan's φ function
• Cubic Analogues of the Jacobian Theta Function θ(z, q)
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