Series of zeta values , the Stieltjes constants , and a sum
نویسنده
چکیده
We present a variety of series representations of the Stieltjes and related constants, the Stieltjes constants being the coefficients of the Laurent expansion of the Hurwitz zeta function ζ(s, a) about s = 1. Additionally we obtain series and integral representations of a sum Sγ(n) formed as an alternating binomial series from the Stieltjes constants. The slowly varying sum Sγ(n) + n is an important subsum in application of the Li criterion for the Riemann hypothesis.
منابع مشابه
AN ASYMPTOTIC FORM FOR THE STIELTJES CONSTANTS γk(a) AND FOR A SUM Sγ(n) APPEARING UNDER THE LI CRITERION
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