A short account of the values of the zeta function at integers

DOI10.7169/facm/1701zbMath1418.11118OpenAlexW2773263053MaRDI QIDQ1664118

Martin N. Huxley

Publication date: 24 August 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1512183765

zbMATH Keywords

Riemann zeta functiongenerating functionsBernoulli numbersanalytic continuationaccelerated convergenceBernoulli polynomialsbox splineEuler polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Numerical summation of series (65B10)

Cites Work

• A Simple Approach to the Analytic Continuation and Values at Negative Integers for Riemann's Zeta-Function
• Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers Via Euler's Transformation of Series
• A simple derivation of \(\zeta(1-K)=-B_K/K\).
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A short account of the values of the zeta function at integers