Results 11 to 20 of about 5,223,805 (173)
The Lerch zeta function I. Zeta integrals [PDF]
Forum Mathematicum, 2012 Abstract. This is the first of four papers that study algebraic and analytic structures associated to the Lerch zeta function. This paper studies “zeta integrals” associated to the Lerch zeta function using test functions, and obtains functional equations for them.
Wen-Ching Winnie Li, Jeffrey Lagarias
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Fractional Calculus of the Lerch Zeta Function
Mediterranean Journal of Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emanuel Guariglia
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A note on the zeros of the Lerch zeta-function [PDF]
Lietuvos Matematikos Rinkinys, 2001 In the paper we obtain the effective zero free regions for the Lerch zeta-function.
Ramūnas Garunkštis
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The Lerch zeta function II. Analytic continuation [PDF]
Forum Mathematicum, 2012 Abstract. This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. The Lerch zeta function
Wen-Ching Winnie Li, Jeffrey Lagarias
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A Series Representation for the Hurwitz–Lerch Zeta Function [PDF]
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function [PDF]
Mathematics, 2022 The Lerch zeta function is defined by a Dirichlet series depending on two fixed parameters. In the paper, we consider the approximation of analytic functions by discrete shifts of the Lerch zeta function, and we prove that, for arbitrary parameters and a
Audronė Rimkevičienė +1 more
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Extended Wang sum and associated products. [PDF]
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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Joint universality of the Riemann zeta-function and Lerch zeta-functions [PDF]
Nonlinear Analysis, 2013 In the paper, we prove a joint universality theorem for the Riemann zeta-function and a collection of Lerch zeta-functions with parameters algebraically independent over the field of rational numbers.
Antanas Laurinčikas +1 more
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On the Order of Growth of Lerch Zeta Functions
Mathematics, 2023 We extend Bourgain’s bound for the order of growth of the Riemann zeta function on the critical line to Lerch zeta functions. More precisely, we prove L(λ, α, 1/2 + it) ≪ t13/84+ϵ as t → ∞.
Jörn Steuding, Janyarak Tongsomporn
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Sum of the Hurwitz-Lerch Zeta Function over Natural Numbers: Derivation and Evaluation
Journal of Mathematics, 2022 We consider a Hurwitz-Lerch zeta function Φs,z,a sum over the natural numbers. We provide an analytically continued closed form solution for this sum in terms of the addition of Hurwitz-Lerch zeta functions.
Robert Reynolds, Allan Stauffer
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