Results 1 to 10 of about 12,430,796 (323)
Almost sure bounds for a weighted Steinhaus random multiplicative function [PDF]
Journal of the London Mathematical Society, 2023 We obtain almost sure bounds for the weighted sum ∑n⩽tf(n)n$\sum _{n \leqslant t} \frac{f(n)}{\sqrt {n}}$ , where f(n)$f(n)$ is a Steinhaus random multiplicative function.
Seth Hardy
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Sign changes of the partial sums of a random multiplicative function II [PDF]
Comptes rendus. Mathematique, 2023 We study two models of random multiplicative functions: Rademacher random multiplicative functions supported on the squarefree integers $f$, and Rademacher random completely multiplicative functions $f^*$. We prove that the partial sums $\sum_{n\leq x}f^*
Marco Aymone
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Sign changes of the partial sums of a random multiplicative function [PDF]
Bulletin of the London Mathematical Society, 2021 We provide a simple proof that the partial sums ∑n⩽xf(n)$\sum _{n\leqslant x}f(n)$ of a Rademacher random multiplicative function f$f$ change sign infinitely often as x→∞$x\rightarrow \infty$ , almost surely.
Marco Aymone, W. Heap, J. Zhao
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Theory on Duplicity of Finite Neutrosophic Rings [PDF]
Neutrosophic Sets and Systems, 2023 This article introduces the notion of duplex elements of the finite rings and corresponding neutrosophic rings. The authors establish duplex ring and neutrosophic duplex ring by way of various illustrations.
T. Chalapathi +3 more
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Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function [PDF]
Journal of the London Mathematical Society, 2020 We consider partial sums of a weighted Steinhaus random multiplicative function and view this as a model for the Riemann zeta function. We give a description of the tails and high moments of this object.
Marco Aymone, W. Heap, J. Zhao
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Diversity of Bivariate Concordance Measures
Mathematics, 2022 We revisit the axioms of Scarsini, defining bivariate concordance measures for a pair of continuous random variables (X,Y); such measures can be understood as functions of the bivariate copula C associated with (X,Y).
Martynas Manstavičius
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Multiplicative functionals on function Algebras [PDF]
Revista Matemática Complutense, 1988 It is in general of interest to identify certain characters of the algebra A of all real analytic or real \(C^ n\)-functions on some real Banach space E as point evaluations at some point of E. The authors prove a general theorem in this direction. Some applications of this theorem are cases where every character is the point evaluation.
Gómez Gil, Javier, Llavona, José G.
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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
Alexandre, Urzhumtsev +1 more
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WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION? [PDF]
Forum of Mathematics, Sigma, 2017 Let $f$ and $g$ be 1-bounded multiplicative functions for which $f\ast g=1_{.=1}$ . The Bombieri–Vinogradov theorem holds for both $f$ and $g$ if and only if the Siegel–Walfisz criterion holds for both $f$ and $g$ , and the Bombieri–Vinogradov theorem ...
A. Granville, X. Shao
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Furstenberg systems of pretentious and MRT multiplicative functions [PDF]
Ergodic Theory and Dynamical Systems, 2023 We prove structural results for measure-preserving systems, called Furstenberg systems, naturally associated with bounded multiplicative functions. We show that for all pretentious multiplicative functions, these systems always have rational discrete ...
N. Frantzikinakis +2 more
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