Results 51 to 60 of about 28,649 (209)

Exponential sums of Lerch’s zeta functions [PDF]

Proceedings of the American Mathematical Society, 1985
For x x not an an integer and
openaire   +2 more sources

Multiple Lerch Zeta Functions and an Idea of Ramanujan [PDF]

Michigan Mathematical Journal, 2018
In this article, we derive meromorphic continuation of multiple Lerch zeta functions by generalising an elegant identity of Ramanujan. Further, we describe the set of all possible singularities of these functions. Finally, for the multiple Hurwitz zeta functions, we list the exact set of singularities.
Gun, Sanoli, Saha, Biswajyoti
openaire   +3 more sources

The size of the Lerch zeta-function at places symmetric with respect to the line $\Re (s)=1/2$ [PDF]

, 2019
summary:Let $\zeta (s)$ be the Riemann zeta-function. If $t\geq 6.8$ and $\sigma >1/2$, then it is known that the inequality $|\zeta (1-s)|>|\zeta (s)|$ is valid except at the zeros of $\zeta (s)$. Here we investigate the Lerch zeta-function $L(\lambda ,\
Garunkštis, Ramūnas, Grigutis, Andrius
core   +1 more source

An Operator Defined on Hadamard Product Pertaining to Generalized Hurwitz-Lerch Zeta Function with Conical Section

Tuijin Jishu/Journal of Propulsion Technology, 2023
The author’s goal is to highlight the most recent developments in the research on the study of complex-valued functions as seen through an understanding of geometric function theory.
A. Prabhu
semanticscholar   +1 more source

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj   +1 more source

The Lerch zeta-function with algebraic irrational parameter

Lietuvos Matematikos Rinkinys, 2009
In this note, we present probabilisticlimit theorems on the complex plane as well as in functional spaces for the Lerch zeta-function with algebraic irrational parameter.
Danutė Genienė
doaj   +1 more source

Fractional differential relations for the Lerch zeta function [PDF]

Archiv der Mathematik, 2020
We explore a recently opened approach to the study of zeta functions, namely the approach of fractional calculus. By utilising the machinery of fractional derivatives and integrals, which have rarely been applied in analytic number theory before, we are ...
A. Fernandez, J. Djida
semanticscholar   +1 more source

The density function for the value-distribution of the Lerch zeta-function and its applications

, 2021
The probabilistic study of the value-distributions of zeta-functions is one of the modern topics in analytic number theory. In this paper, we study a certain probability measure related to the value-distribution of the Lerch zeta-function.
Mine, Masahiro
core   +1 more source

A transformation formula related to Dirichlet L-functions with principal character

Lietuvos Matematikos Rinkinys, 2012
We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
doaj   +1 more source

Synergistic Inhibitory Effect and Mechanism of Action of Cinnamaldehyde‐Carvacrol Nanoemulsion on the Staphylococcus aureus and Escherichia coli Mixed Biofilms Formation

MicrobiologyOpen, Volume 15, Issue 2, April 2026.
The study prepared Cinnamaldehyde‐Carvacrol nanoemulsions (CA/CV NEs) through high‐energy emulsification. In a mouse infection model, CA/CV NEs exhibited a synergistic inhibitory effect on the formation of Staphylococcus aureus–Escherichia coli mixed biofilms, reducing PIA, LuxS/AI‐2, adhesion, athletic ability, and extracellular protein.
Siqi He, Yuxin Wang, Wenli Wang, Yanhua Li, Zhiyun Zhang   +4 more
wiley   +1 more source