Results 21 to 30 of about 10,597,961 (334)
Helson's problem for sums of a random multiplicative function [PDF]
, 2014 © 2015 University College London. This is the authors’ accepted and refereed manuscript to the article.
A. Bondarenko, K. Seip
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The Cosine-Sine Functional Equation on Semigroups
Annales Mathematicae Silesianae, 2022 The primary object of study is the “cosine-sine” functional equation f(xy) = f(x)g(y)+g(x)f(y)+h(x)h(y) for unknown functions f, g, h : S → ℂ, where S is a semigroup.
Ebanks Bruce
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A Variant of D’Alembert’s Functional Equation on Semigroups with Endomorphisms
Annales Mathematicae Silesianae, 2022 Let S be a semigroup, and let φ, ψ: S → S be two endomorphisms (which are not necessarily involutive). Our main goal in this paper is to solve the following generalized variant of d’Alembert’s functional equation f(xϕ(y))+f(ψ(y)x)=2f(x)f(y), x,y ∈ S,
Akkaoui Ahmed +2 more
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Symmetry, 2023 There is significant interaction between the class of symmetric functions and other types of functions. The multiplicative convex function class, which is intimately related to the idea of symmetry, is one of them.
A. Kashuri +4 more
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Multiple rotation function [PDF]
Acta Crystallographica Section A Foundations of Crystallography, 2002 A simultaneous analysis of several rotation functions allows identification of the model orientation in situations when a single rotation function fails to find the answer. Multiple rotation functions can be obtained by the usual modification of the search model or by variation of the resolution at which the function is calculated. A specially suitable
Ludmila Urzhumtseva +1 more
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Investigations of the analytic and probabilistic number theory in Šiauliai University
Lietuvos Matematikos Rinkinys, 2010 In this paper, the investigations of analytic and probabilistic number theory which were done in Šiauliai University are reviewed.
Darius Šiaučiūnas
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Injectiveness and Discontinuity of Multiplicative Convex Functions
Mathematics, 2021 In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct ...
Pablo Jiménez-Rodríguez +3 more
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Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function [PDF]
, 2010 We prove new lower bounds for the upper tail probabilities of suprema of Gaussian processes. Unlike many existing bounds, our results are not asymptotic, but supply strong information when one is only a little into the upper tail.
Adam J. Harper
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Modeling the Dirichlet distribution using multiplicative functions
Nonlinear Analysis, 2020 For q,m,n,d ∈ N and some multiplicative function f > 0, we denote by T3(n) the sum of f(d) over the ordered triples (q,m,d) with qmd = n. We prove that Cesaro mean of distribution functions defined by means of T3 uniformly converges to the one-parameter ...
Gintautas Bareikis, Algirdas Mačiulis
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On the limit distributions of some sums of a random multiplicative function [PDF]
, 2010 We study sums of a random multiplicative function; this is an example, of number-theoretic interest, of sums of products of independent random variables (chaoses). Using martingale methods, we establish a normal approximation for the sum over those n ≦ x
Adam J. Harper
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