Evaluation of some \(q\)-integrals in terms of the Dedekind eta function

DOI10.1515/anly-2018-0002zbMath1429.11079OpenAlexW2797131758WikidataQ130038108 ScholiaQ130038108MaRDI QIDQ1748275

Kenneth S. Williams, Greg Doyle

Publication date: 9 May 2018

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2018-0002

zbMATH Keywords

\(q\)-seriesDedekind eta function\(q\)-integrals

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Dedekind eta function, Dedekind sums (11F20) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (1)

When is the derivative of an eta quotient another eta quotient?

Cites Work

• Some q-integrals associated with modular forms
• Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial
• FOURIER SERIES OF A CLASS OF ETA QUOTIENTS
• Values of the Dedekind Eta Function at Quadratic Irrationalities
• Further relations amongst infinite series and products. II. The evaluation of three-dimensional lattice sums
• The Chowla-Selberg formula for genera
• Nineteen quaternary quadratic forms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Evaluation of some \(q\)-integrals in terms of the Dedekind eta function