Diagonal convergence of the remainder Padé approximants for the Hurwitz zeta function

DOI10.1016/j.jnt.2020.10.019zbMath1475.11152OpenAlexW3011531617MaRDI QIDQ1998904

Tanguy Rivoal, Marc Prevost

Publication date: 9 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.10.019

zbMATH Keywords

Hurwitz zeta functionorthogonal polynomialsPadé approximantsBernoulli numbersWilson's orthogonality

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Padé approximation (41A21) Hurwitz and Lerch zeta functions (11M35) Irrationality; linear independence over a field (11J72) Evaluation of number-theoretic constants (11Y60)

Related Items (1)

New convergent sequences of approximations to Stieltjes' constants

Cites Work

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• Type II Hermite-Padé approximations of generalized hypergeometric series
• Remainder Padé approximants for the Hurwitz zeta function
• Padé-type approximation and general orthogonal polynomials
• Euler numbers, Padé approximants and Catalan's constant
• A new proof of the irrationality of \(\zeta (2)\) and \(\zeta (3)\) using Padé approximants
• Some Hypergeometric Orthogonal Polynomials
• A Set of Hypergeometric Orthogonal Polynomials

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