Results 101 to 110 of about 5,226,001 (195)
The Critical Values of Generalizations of the Hurwitz Zeta Function
Documenta Mathematica, 2010 We investigate a few types of generalizations of the Hurwitz zeta function, written Z(s,a) in this abstract, where s is a complex variable and
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Universality theorems for the periodic Hurwitz zeta-function. [PDF]
, 2018 The periodic Hurwitz zeta-function is a generalization of the classical Hurwitz zeta-function. It is defined by the Dirichlet series depending on a fixed parameter with periodic coefficients.
Mochov, Dmitrij,
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A Zeta Function for Juggling Sequences [PDF]
, 2012 We give a new generalization of the Riemann zeta function to the set of b-ball juggling sequences. We develop several properties of this zeta function, noting among other things that it is rational in b-s.
Klyve, Dominic +2 more
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New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function
, 2017 In view of the relationship with the Kr?tzel function, we derive a new series representation for the ?-generalized Hurwitz-Lerch Zeta function introduced by H.M. Srivastava [Appl. Math. Inf. Sci.
R.K. Raina, Min-Jie Luo
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Hurwitz Zeta Functions and Ramanujan's Identity for Odd Zeta Values
, 2022 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 ...
Chavan, Parth
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Approximation of the hurwitz zeta-function by a finite sum. [PDF]
, 2016 Approximation of the Hurwitz zeta-function by a finite ...
Adomynas, Justinas,
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On Generalized Hurwitz-Lerch Zeta Distributions [PDF]
, 2009 In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Jain, Kumkum +2 more
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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.
europepmc +1 more source
Remark on the Hurwitz zeta function [PDF]
Proceedings of the American Mathematical Society, 1951 openaire +2 more sources
On a Weighted Series of the Hurwitz Zeta Function
, 2023 In this note we prove that for all $a \in \mathbb{N}$, $x \in \mathbb{R}_+ \cup \{0\}$, and $s \in \mathbb{C}$ with $\Re(s) > a + 2$, the (alternating) weighted series of the Hurwitz zeta function, $$ \sum_{k \geq 1} (\pm 1)^k (k + x)^a\zeta(s,k + x), $$
Fox, Matthew, Karamchedu, Chaitanya
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