Results 71 to 80 of about 28,649 (209)
On the mean square of the Lerch zeta-function
Lietuvos Matematikos Rinkinys, 1999 There is not abstract.
Antanas Laurinčikas
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The Lerch zeta function as a fractional derivative [PDF]
Banach Center Publications, 2018 We derive and prove a new formulation of the Lerch zeta function as a fractional derivative of an elementary function. We demonstrate how this formulation interacts very naturally with basic known properties of Lerch zeta, and use the functional equation
A. Fernandez
semanticscholar +1 more source
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
openaire +3 more sources
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi +3 more
wiley +1 more source
Zeros of derivative of Lerch's zeta-function
Advanced Studies in Pure Mathematics, 2020 In this paper, we study the distribution of the zeros of the derivative of the Lerch zeta-function. We indicate the zero-free regions and the positions of the trivial zeros. Also, we consider an asymptotic formula for the number of nontrivial zeros and show that almost all nontrivial zeros are arbitrarily close to the critical line.
Garunkštis, Ramūnas +2 more
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Arithmetic progressions and holomorphic phase retrieval
Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3316-3330, November 2024.Abstract We study the determination of a holomorphic function from its absolute value. Given a parameter θ∈R$\theta \in \mathbb {R}$, we derive the following characterization of uniqueness in terms of rigidity of a set Λ⊆R$\Lambda \subseteq \mathbb {R}$: if F$\mathcal {F}$ is a vector space of entire functions containing all exponentials eξz,ξ∈C∖{0}$e^{
Lukas Liehr
wiley +1 more source
New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function
, 2017 In view of the relationship with the Kr?tzel function, we derive a new series representation for the ?-generalized Hurwitz-Lerch Zeta function introduced by H.M. Srivastava [Appl. Math. Inf. Sci.
R.K. Raina, Min-Jie Luo
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Lead‐time‐continuous statistical postprocessing of ensemble weather forecasts
Quarterly Journal of the Royal Meteorological Society, Volume 150, Issue 761, Page 2147-2167, April 2024 Part B.Statistical postprocessing methods for recalibrating forecasts are usually fitted individually for each lead time at which a forecast is available. This, however, is computationally expensive and restricts the usability of models. Here we study the lead‐time dependence of Ensemble Model Output Statistics—a postprocessing method—and develop lead‐time ...
Jakob Benjamin Wessel +2 more
wiley +1 more source
Limiting Values and Functional and Difference Equations
Mathematics, 2020 Boundary behavior of a given important function or its limit values are essential in the whole spectrum of mathematics and science. We consider some tractable cases of limit values in which either a difference of two ingredients or a difference equation ...
N.-L. Wang +2 more
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Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
, 2012 It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair.
Cvijović, Đurđe
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