Results 111 to 120 of about 550,652 (221)
Hurwitz zeta functions and Ramanujan's identity for odd zeta values
Journal of Mathematical Analysis and Applications, 2023 Inspired by a famous formula of Ramanujan for odd zeta values, we prove an analogous formula involving the Hurwitz zeta function. We introduce a new integral kernel related to the Hurwitz zeta function, generalizing the integral kernel associated to Ramanujan's identity.
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On joint universality of the Riemann zeta-function and Hurwitz zeta-functions
Journal of Number Theory, 2012 AbstractWe construct classes of composite functions of the Riemann zeta-function and Hurwitz zeta function with transcendental parameter which are universal in the sense that their shifts uniformly on compact subsets of some region approximate any analytic function. For example, the functions c1ζ(s)+c2ζ(s,α),c1,c2∈C∖{0}, eζ(s)+ζ(s,α) and sin(ζ(s)+ζ(s,α)
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A discrete limit theorem for the periodic Hurwitz zeta-function. II
Lietuvos Matematikos Rinkinys, 2016 In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
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The Hurwitz Zeta Function at the Positive Integers
, 2019 Simplified equation and improved ...
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On the Hurwitz zeta function of imaginary second argument [PDF]
Journal of Mathematical Physics, 2011 In this work, we exploit Jonquière's formula relating the Hurwitz zeta function to a linear combination of polylogarithmic functions in order to evaluate the real and imaginary part of ζH(s, ia) and its first derivative with respect to the first argument s.
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Asymptotic expansions for the alternating Hurwitz zeta function and its derivatives [PDF]
Journal of Mathematical Analysis and Applications, 2021 Su Hu, Min-Soo Kim
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On the sum relation of multiple Hurwitz zeta functions [PDF]
Quaestiones Mathematicae, 2018 In this paper we shall define a special-valued multiple Hurwitz zeta functions, namely the multiple $t$-values $t(\boldsymbol )$ and define similarly the multiple star $t$-values as $t^{\star}(\boldsymbol )$. Then we consider the sum of all such multiple (star) $t$-values of fixed depth and weight with even argument and prove that such a sum can be ...
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The Zeta and Related Functions: Recent Developments
Journal of Advanced Engineering and Computation, 2019 The main object of this survey-cum-expository article is to present an overview of some recent developments involving the Riemann Zeta function ζ(s), the Hurwitz (or generalized) Zeta function ζ(s, a), and the Hurwitz-Lerch Zeta function Φ(z, s, a ...
H. M. Srivastava
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A Mixture Model of Truncated Zeta Distributions with Applications to Scientific Collaboration Networks. [PDF]
Entropy (Basel), 2021 Jung H, Phoa FKH.
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