Results 101 to 110 of about 2,152 (201)
Contributions to the theory of the Hurwitz zeta-function [PDF]
, 2007 International audienceWe give various contributions to the theory of Hurwitz zeta-function. An elementary part is the argument relating to the partial sum of the defining Dirichlet series for it; how much can we retrieve the whole from the part.
Tsukada, H +3 more
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Euler Numbers and Polynomials Associated with Zeta Functions
Abstract and Applied Analysis, 2008 For s∈ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζE(s)=2∑n=1∞((−1)n/ns), and ζE(s,x)=2∑n=0∞((−1)n/(n+x)s). Thus, we note that the Euler zeta functions are entire functions in whole complex s-plane, and these zeta ...
Taekyun Kim
doaj +1 more source
On approximation of analytic functions by periodic Hurwitz zeta-functions
Mathematical Modelling and Analysis, 2019 The periodic Hurwitz zeta-function ζ(s, α; a), s = σ +it, with parameter 0 < α ≤ 1 and periodic sequence of complex numbers a = {am } is defined, for σ > 1, by series sum from m=0 to ∞ am / (m+α)s, and can be continued moromorphically to the whole ...
Violeta Franckevič +2 more
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Remainder Padé Approximants for the Hurwitz Zeta Function [PDF]
Results in Mathematics, 2019 Following our earlier research, we use the method introduced by the author in \cite{prevost1996} named Remainder Padé Approximant in \cite{rivoalprevost}, to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of $ζ(2)$ and $ζ(3)$
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Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
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 random variable related to the Hurwitz zeta-function with algebraic parameter [PDF]
, 2022 In this paper, we introduce a certain random variable closely related to the value-distribution of the Hurwitz zeta-function with algebraic parameter. We prove a version of the limit theorem, where the limit measure is presented by the law of this random
Mine, Masahiro
core +1 more source
On the modification of the universality of the Hurwitz zeta-function
Nonlinear Analysis, 2016 In the paper, the lower limit in the universality inequality for the Hurwitz zeta-function is replaced by an ordinary limit. The cases of continuous and discrete universalities are considered.
Antanas Laurinčikas, Laimonas Meška
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Double Euler Sums on Hurwitz Zeta Functions
Rocky Mountain Journal of Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eie, Minking, Liaw, Wen-Chin
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