Asymptotic estimates for Stieltjes constants: a probabilistic approach-Reference-Cited by-同舟云学术

Asymptotic estimates for Stieltjes constants: a probabilistic approach

Published:2010-10-06 Issue:2128 Volume:467 Page:954-963
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Adell José A.¹

Affiliation:

1. Facultad de Ciencias, Departamento de Métodos Estadísticos, Universidad de Zaragoza, 50009 Zaragoza, Spain

Abstract

Let ( γ n ) n ≥ 0 be the sequence of Stieltjes constants appearing in the Laurent expansion of the Riemann zeta function. We obtain explicit upper bounds for | γ n |, whose order of magnitude is as n tends to infinity. To do this, we use a probabilistic approach based on a differential calculus for the gamma process.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2010.0397

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