Results 21 to 30 of about 16,945 (287)
On Joint Universality in the Selberg–Steuding Class
Mathematics, 2023 The famous Selberg class is defined axiomatically and consists of Dirichlet series satisfying four axioms (Ramanujan hypothesis, analytic continuation, functional equation, multiplicativity).
Roma Kačinskaitė +2 more
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Generalized Limit Theorem for Mellin Transform of the Riemann Zeta-Function
AxiomsIn the paper, we prove a limit theorem in the sense of the weak convergence of probability measures for the modified Mellin transform Z(s), s=σ+it, with fixed 1 ...
Antanas Laurinčikas +1 more
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Mathematics, 2023 Let θ(t) denote the increment of the argument of the product π−s/2Γ(s/2) along the segment connecting the points s=1/2 and s=1/2+it, and tn denote the solution of the equation θ(t)=(n−1)π, n=0,1,…. The numbers tn are called the Gram points. In this paper,
Antanas Laurinčikas
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Weak Convergence of Probability Measures
, 2020 Lecture notes based on the book Convergence of Probability Measures by Patrick Billingsley.
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Joint Discrete Universality in the Selberg–Steuding Class
Axioms, 2023 In the paper, we consider the approximation of analytic functions by shifts from the wide class S˜ of L-functions. This class was introduced by A. Selberg, supplemented by J. Steuding, and is defined axiomatically.
Roma Kačinskaitė +2 more
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A Discrete Limit Theorem for L-Functions of Elliptic Curves
Jaunųjų Mokslininkų Darbai, 2018 In the paper, we prove the discrete limit theorem in the sense of the weak convergence of probability measures in the space of analytic on DV = {s ∈ C : 1 < σ < 3/2, |t| 0 be a fixed real number such that exp {2πk/h} is an irrational number for all k∈Z\{
Virginija Garbaliauskienė +1 more
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The Linear Topology Associated with Weak Convergence of Probability Measures [PDF]
Missouri Journal of Mathematical Sciences, 2014 This expository note aims at illustrating weak convergence of probability measures from a broader view than a previously published paper. Though the results are standard for functional analysts, this approach is rarely known by statisticians and our presentation gives an alternative view than most standard probability textbooks.
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Time‐Dependent Oxidation and Scale Evolution of a Wrought Co/Ni‐Based Superalloy
Advanced Engineering Materials, EarlyView.This study shows how a new wrought Co/Ni‐based superalloy resists oxidation at 800 ∘$^\circ$C. The oxide scale changes from rough, fast‐growing spinel to a dense, protective chromia–alumina layer. Atom probe analysis reveals tiny refractory‐rich bubbles at the interface that mark the transition to long‐term, diffusion‐controlled protection ...
Cameron Crabb +6 more
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On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves
Jaunųjų Mokslininkų Darbai, 2017 In the paper, the continuous type’s universality theorem for L-functions of elliptic curves is discussed and its generalizations in three directions – for positive integer powers and derivatives of L-functions of elliptic curves as well as the weighted ...
Virginija Garbaliauskienė
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Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
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