New results on the Stieltjes constants: Asymptotic and exact evaluation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:317

Article

Coffey, MW

关键词: Stieltjes constants;    Riemann zeta function;    Hurwitz zeta function;    Laurent expansion;    integrals of periodic Bernoulli polynomials;    functional equation;    Kreminski conjecture;   

DOI  :  10.1016/j.jmaa.2005.06.048

来源: Elsevier

【 摘 要 】

The Stieltjes constants gamma(k)(a) are the expansion coefficients in the Laurent series for the Hurwitz zeta function about s = 1. We present new asymptotic, summatory, and other exact expressions for these and related constants. (C) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free