Small values of coefficients of a half Lerch sum

DOI10.1142/S1793042117501366zbMath1428.11182arXiv1605.09508OpenAlexW2964330607MaRDI QIDQ4595078

Xinhua Xiong

Publication date: 28 November 2017

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

Full work available at URL: https://arxiv.org/abs/1605.09508

zbMATH Keywords

bounds\(q\)-hypergeometric serieslacunarycoefficients of \(q\)-series

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Analytic theory of partitions (11P82)

Related Items (3)

Well lacunary series and modular forms of weight one ⋮ Vanishing of the coefficients of a half Lerch sum ⋮ On sum-of-tails identities

Cites Work

• Unnamed Item
• Unnamed Item
• The first positive rank and crank moments for overpartitions
• Lacunary partition functions
• Distribution of parity of the partition function in arithmetic progressions
• Parity of the partition function
• Partitions and indefinite quadratic forms.
• q-identities for Maass waveforms
• More lacunary partition functions
• Overpartitions and real quadratic fields
• The odd moments of ranks and cranks
• Characters and \(q\)-series in \(\mathbb Q(\sqrt 2)\)
• Bailey pairs and indefinite quadratic forms
• Real quadratic double sums
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• Inequalities for positive rank and crank moments of overpartitions
• The Fifth and Seventh Order Mock Theta Functions
• Questions and Conjectures in Partition Theory
• ON THE PARITY OF PARTITION FUNCTIONS
• Short effective intervals containing primes

This page was built for publication: Small values of coefficients of a half Lerch sum