An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions

2008/03/01 by Linas Vepštas · 2 citations
Mathematics · #Advanced Mathematical Identities #Algorithm #Analytic Number Theory Research #Applied mathematics #Arithmetic zeta function #Euler's formula #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Polylogarithm #Prime zeta function #Pure mathematics #Riemann zeta function #Series (stratigraphy)

paper · doi:10.1007/s11075-007-9153-8

crossref issued 2008/03/01 · crossref published 2008/03/01 · crossref published-print 2008/03/01 · openalex publication_date 2008/03/01 · crossref created 2008/03/03 · crossref published-online 2008/03/04 · crossref deposited 2019/06/01 · openalex created_date 2025/10/10 · crossref indexed 2026/07/04 · openalex updated_date 2026/08/05

Citations

• Computational strategies for the Riemann zeta function
• Ein Summierungsverfahren f�r die Riemannsche ?-Reihe
• Resurgence of the fractional polylogarithms
• Introduction to Analytic Number Theory

Cited by

• Hurwitz zeta function [wikipedia]
• Polylogarithm [wikipedia]