Special zeta Mahler functions

DOI10.1007/s40993-022-00326-9zbMath1500.11053arXiv2012.09506OpenAlexW3112680787WikidataQ114218037 ScholiaQ114218037MaRDI QIDQ2138611

Berend Ringeling

Publication date: 12 May 2022

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

Full work available at URL: https://arxiv.org/abs/2012.09506

zbMATH Keywords

zeta functionMahler measurehypergeometric function

Mathematics Subject Classification ID

Heights (11G50) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (1)

Evaluations of the areal Mahler measure of multivariable polynomials

Uses Software

• DLMF

Cites Work

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• Arithmetic of linear forms involving odd zeta values
• Zeta Mahler measures
• Heights of hypersurfaces and Igusa's zeta-functions
• The analytic continuation of generalized functions with respect to a parameter
• Meromorphic property of the functions \(P^ \lambda\)
• Densities of Short Uniform Random Walks
• Hypergeometric Formulas for Lattice Sums and Mahler Measures
• Many Variations of Mahler Measures
• Resolution of Singularities and Division of Distributions

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