Results 11 to 20 of about 26,951 (214)
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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The Lerch Zeta Function II. Analytic Continuation [PDF]
Forum Mathematicum, 2010 This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. In this paper we analytically continue it as a function of three complex variables.
Apostol T. M. +7 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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Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
Journal of Mathematics, 2021 We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
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A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation
Journal of Mathematics, 2022 A two-dimensional integral containing Sx is derived.
Robert Reynolds, Allan Stauffer
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One functional property of the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 1998 There is not abstract.
Antanas Laurinčikas
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Certain subclass of analytic functions involving Hurwitz–Lerch zeta function
Serdica Mathematical Journal, 2022 Making use of Integral operator involving the Hurwitz-Lerch zeta function, we introduce a new subclass of analytic functions defined in the open unit disk and investigate its various characteristics.
Kishore C. Deshmukh, R. Ingle, P. Reddy
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Joint universality of the Riemann zeta-function and Lerch zeta-functions
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 Lerch zeta function. [PDF]
Pacific Journal of Mathematics, 1951 T. Apostol
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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.
Lagarias, Jeffrey C. +1 more
openaire +2 more sources