A two-variable generalization of the Kummer-Malmstén formula for the logarithm of the double gamma and double sine functions

DOI10.1016/J.JNT.2018.07.011zbMath1434.11191OpenAlexW2888006139MaRDI QIDQ1788097

Brett A. Tangedal

Publication date: 8 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.07.011

zbMATH Keywords

double Fourier seriesdouble gamma functiondouble sine functionBarnes double zeta-function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other Dirichlet series and zeta functions (11M41)

Uses Software

• Unnamed Item

Cites Work

• Erratum and addendum to: ``Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results
• On \(p\)-adic multiple zeta and log gamma functions
• Values of the double sine function
• Continued fractions, special values of the double sine function, and Stark units over real quadratic fields
• Multiple Eisenstein series and multiple cotangent functions
• On the Barnes double zeta and gamma functions
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• Improper Riemann Integrals
• The Gamma Function and the Hurwitz Zeta-Function
• On Barnes' multiple zeta and gamma functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A two-variable generalization of the Kummer-Malmstén formula for the logarithm of the double gamma and double sine functions