TWO CONGRUENCES FOR APPELL–LERCH SUMS

DOI10.1142/S1793042112500066zbMath1252.11081MaRDI QIDQ3116591

Song Heng Chan, Renrong Mao

Publication date: 24 February 2012

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

zbMATH Keywords

mock theta functionscongruencesAppell-Lerch seriesq-series

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 (13)

Mock theta functions and Appell-Lerch sums ⋮ On second order mock theta function \(B(q)\) ⋮ 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 ⋮ OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION ⋮ 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

• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• Sixth order mock theta functions
• On certain explicit congruences for mock theta functions
• Theta function identities and Ramanujan's Congruences on the partition function
• THE COEFFICIENTS OF THE ω(q) MOCK THETA FUNCTION
• Some Eighth Order Mock Theta Functions
• Second Order Mock Theta Functions
• Generalized Lambert series identities

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