On the Hurwitz zeta function with an application to the beta-exponential distribution
نویسندگان
چکیده
منابع مشابه
On the distribution of zeros of the Hurwitz zeta-function
Assuming the Riemann hypothesis, we prove asymptotics for the sum of values of the Hurwitz zeta-function ζ(s, α) taken at the nontrivial zeros of the Riemann zeta-function ζ(s) = ζ(s, 1) when the parameter α either tends to 1/2 and 1, respectively, or is fixed; the case α = 1/2 is of special interest since ζ(s, 1/2) = (2s − 1)ζ(s). If α is fixed, we improve an older result of Fujii. Besides, we...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2020
ISSN: 1029-242X
DOI: 10.1186/s13660-020-02357-1