Results 1 to 10 of about 10,952,690 (356)
On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications
AIMS Mathematics, 2023 In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative ...
Saowaluck Chasreechai +4 more
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Correlations of multiplicative functions in function fields [PDF]
Mathematika, 2020 We develop an approach to study character sums, weighted by a multiplicative function f:Fq[t]→S1$f\colon \mathbb {F}_q[t]\rightarrow S^1$ , of the form ∑deg(G)=NGmonicf(G)χ(G)ξ(G),$$\begin{align*}\hskip7pc \sum _{\substack{\textnormal {deg}(G) = N \\ G ...
Oleksiy Klurman +2 more
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Moments of random multiplicative functions, II: High moments [PDF]
Algebra & Number Theory, 2019 We determine the order of magnitude of $\mathbb{E}|\sum_{n \leq x} f(n)|^{2q}$ up to factors of size $e^{O(q^2)}$, where $f(n)$ is a Steinhaus or Rademacher random multiplicative function, for all real $1 \leq q \leq \frac{c\log x}{\log\log x}$.
Adam J Harper, Adam J Harper
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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 [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, Winston 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, Winston 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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On the multiplicative Legendre equation
Journal of Taibah University for Science, 2022 When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
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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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