Results 91 to 100 of about 850 (200)

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, Yoshimoto, M, Tanigawa, Y, Kanemitsu, S   +3 more
core   +3 more sources

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

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, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +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

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

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, Garg, Mridula, Kalla, S. L.   +2 more
core   +1 more source

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
doaj   +1 more source

SOME FORMULAS FOR APOSTOL-EULER POLYNOMIALS ASSOCIATED WITH HURWITZ ZETA FUNCTION AT RATIONAL ARGUMENTS [PDF]

, 2020
We give some explicit relationships between the Apostol-Euler polynomials and generalized Hurwitz-Lerch Zeta function and obtain some series representations of the Apostol-Euler polynomials of higher order in terms of the generalized Hurwitz-Lerch Zeta ...
Qiu-Ming Luo
core  

A new generalization of the Riemann zeta function and its difference equation

Advances in Difference Equations, 2011
We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar, Tassaddiq Asifa, Chaudhry Muhammad   +2 more
doaj  

A discrete version of the Mishou theorem related to periodic zeta-functions

Mathematical Modelling and Analysis
In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts and of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence a, and the periodic Hurwitz ...
Aidas Balčiūnas, Mindaugas Jasas, Audronė Rimkevičienė   +2 more
doaj   +1 more source