Results 1 to 10 of about 48,369 (262)
The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line [PDF]
Annals of Probability, 2020 We prove that if omega is uniformly distributed on [0, 1], then as T -> infinity, t bar right arrow zeta (i omega T + it + 1/2) converges to a nontrivial random generalized function, which in turn is identified as a product of a very well-behaved random ...
Eero Saksman, Christian Webb
exaly +2 more sources
Mean values of multiplicative functions over function fields [PDF]
Research in Number Theory, 2015 We discuss the mean values of multiplicative functions over function fields. In particular, we adapt the authors’ new proof of Halász’s theorem on mean values to this simpler setting.
Andrew Granville +2 more
exaly +1 more source
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.
openaire +4 more sources
Correlations of multiplicative functions in function fields [PDF]
, 2022 We develop an approach to study character sums, weighted by a multiplicative function $f:\mathbb{F}_q[t]\to S^1$, of the form \begin{equation} \sum_{G\in \mathcal{M}_N}f(G)\chi(G)\xi(G), \end{equation} where $\chi$ is a Dirichlet character and $\xi$ is a
Mangerel, A +10 more
core +2 more sources
The multiplicity function of galaxies [PDF]
Astronomy & Astrophysics, 2003 10 pages, 10 figures.
LONGO, GIUSEPPE +4 more
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The Spectrum of Multiplicative Functions [PDF]
The Annals of Mathematics, 2001 Let S be a subset of the unit disk, and let F(s) denote the class of completely multiplicative functions f such that f(p) is in S for all primes p. The authors' main concern is which numbers arise as mean-values of functions in F(s). More precisely, let Gamma_N(S) = {1/N sum_{n <= N} f(n): f in F(S)} and Gamma(S) = lim_{N -> infinity} Gamma_N(s).
Granville, Andrew, Soundararajan, K.
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Multiple functions of USP18 [PDF]
Cell Death & Disease, 2016 Since the discovery of the ubiquitin system and the description of its important role in the degradation of proteins, many studies have shown the importance of ubiquitin-specific peptidases (USPs). One special member of this family is the USP18 protein (formerly UBP43).
Honke, Nadine +4 more
openaire +3 more sources
On the value distribution of the Smarandache multiplicative function [PDF]
, 2008 The main purpose of this paper is using the elementary method to study the value distribution property of the Smarandache multiplicative function, and give an interesting asymptotic formula for ...
Yi, Yuan, Yuan Yi
core +1 more source
The mean value of a new arithmetical function [PDF]
, 2008 The main purpose of this paper is using the elementary and the analytic methods to study the mean value properties of a Smarandache multiplicative function, and give two sharper asymptotic formulae for ...
Pei, Zhang, Jin, Zhangyz and Pei Zhang
core +1 more source
Cramer–Rao lower bounds for change points in additive and multiplicative noise [PDF]
, 2004 The paper addresses the problem of determining the Cramer–Rao lower bounds (CRLBs) for noise and change-point parameters, for steplike signals corrupted by multiplicative and/or additive white noise. Closed-form expressions for the signal and noise CRLBs
Ferrari, André +2 more
core +1 more source