Multiple \(q\)-Mahler measures and zeta functions

DOI10.1016/j.jnt.2006.09.004zbMath1127.11061OpenAlexW2046983757MaRDI QIDQ880059

Yasuro Gon, Nobushige Kurokawa, Hideo Oyanagi

Publication date: 10 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.09.004

zbMATH Keywords

zeta functionsmultiple \(q\)-Mahler measures

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Polylogarithms and relations with (K)-theory (11G55)

Related Items (3)

On q-analogs of zeta functions associated with a pair of q-analogs of Bernoulli numbers and polynomials ⋮ Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function ⋮ Carlitz's \(q\)-Bernoulli and \(q\)-Euler numbers and polynomials and a class of generalized \(q\)-Hurwitz zeta functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mahler measure of some \(n\)-variable polynomial families
• Mahler measure and entropy for commuting automorphisms of compact groups
• Heights of polynomials and entropy in algebraic dynamics
• Some examples of Mahler measures as multiple polylogarithms
• A \(q\)-Mahler measure
• Values of the Riemann zeta functions and integrals involving \(\log (2\sinh {\theta\over 2})\) and \(\log (2\sin {\theta\over 2})\)
• Mahler’s Measure and the Dilogarithm (I)
• An application of Jensen's formula to polynomials
• QUANTUM DEFORMATIONS OF CATALAN’S CONSTANT, MAHLER’S MEASURE AND THE HÖLDER–SHINTANI DOUBLE SINE FUNCTION
• Chapter 9 of Ramanujan’s Second Notebook: Infinite Series Identities, Transformations, and Evaluations
• On Measures of Polynomials in Several Variables: Corrigendum
• Mahler's Measure and Special Values of L-functions
• Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
• Multiple sine functions
• GENERALIZED MAHLER MEASURES AND MULTIPLE SINE FUNCTIONS

This page was built for publication: Multiple \(q\)-Mahler measures and zeta functions