A new method for obtaining polylogarithmic Mahler measure formulas
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Publication:2520556
DOI10.1007/s40993-016-0047-5zbMath1414.11128OpenAlexW2506139155MaRDI QIDQ2520556
Publication date: 16 December 2016
Published in: Research in Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40993-016-0047-5
Mahler measurepolylogarithmshigher Mahler measurespecial values of \(\zeta (s)\) and Dirichlet \(L\)-functions
(zeta (s)) and (L(s, chi)) (11M06) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)
Cites Work
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- An explicit formule for the Mahler measure of a family of 3-variable polynomials
- The multiple zeta value data mine
- Mahler measure of some \(n\)-variable polynomial families
- Zeta Mahler measures
- Evaluations of \(k\)-fold Euler/Zagier sums: a compendium of results for arbitrary \(k\)
- Some examples of Mahler measures as multiple polylogarithms
- Lyndon words and shuffle algebras for generating the coloured multiple zeta values relations tables
- Factorization of certain cyclotomic functions
- Low-dimensional topology and number theory. Abstracts from the workshop held August 15th -- August 21st, 2010.
- Higher Mahler measure of an $n$-variable family
- On Some Inequalities for Polynomials in Several Variables
- Higher Mahler measures and zeta functions
- Speculations Concerning the Range of Mahler's Measure
- Mahler's Measure and Special Values of L-functions
- HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
- Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
- Explicit evaluation of Euler sums
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