Results 51 to 60 of about 26,951 (214)
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
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The Lerch zeta function IV. Hecke operators
Research in the Mathematical Sciences, 2016 This paper studies algebraic and analytic structures associated with the Lerch zeta function. It defines a family of two-variable Hecke operators $\{ T_m: \, m \ge 1\}$ given by $T_m(f)(a, c) = \frac{1}{m} \sum_{k=0}^{m-1} f(\frac{a+k}{m}, mc)$ acting on certain spaces of real-analytic functions, including Lerch zeta functions for various parameter ...
Lagarias, Jeffrey C. +1 more
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The Lerch Zeta function III. Polylogarithms and special values [PDF]
Research in the Mathematical Sciences, 2016 This paper studies algebraic and analytic structures associated with the Lerch zeta function, extending the complex variables viewpoint taken in part II. The Lerch transcendent $ (s, z, c)$ is obtained from the Lerch zeta function $ (s, a, c)$ by the change of variable $z=e^{2 i a}$.
Lagarias, Jeffrey C. +1 more
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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
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Joint universality for Lerch zeta-functions
Journal of the Mathematical Society of Japan, 2017 For $01$. In this paper, we prove joint universality for Lerch zeta-functions with distinct $ _1,\ldots, _m$ and transcendental $ $.
LEE, Yoonbok +2 more
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Note on the Hurwitz-Lerch Zeta Function of Two Variables
Symmetry, 2020 A number of generalized Hurwitz–Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz–Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose ...
Junesang Choi +3 more
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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
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THE BOUNDARY LERCH ZETA-FUNCTION AND SHORT CHARACTER SUMS À LA Y. YAMAMOTO
Kyushu Journal of Mathematics, 2020 . As has been pointed out by Chakraborty et al (Seeing the invisible: around generalized Kubert functions. Ann. Univ. Sci. Budapest. Sect. Comput. 47 (2018), 185–195), there have appeared many instances in which only the imaginary part—the odd part—of ...
Xiaohan-H. Wang, J. Mehta, S. Kanemitsu
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On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias +2 more
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A short note on a extended finite secant series
AIMS Mathematics, 2023 In this paper, a summation formula for a general family of a finite secant sum has been extended by making use of a particularly convenient integration contour method.
Robert Reynolds
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