Results 11 to 20 of about 10,597,961 (334)
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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The multiplicity function of galaxies [PDF]
Astronomy & Astrophysics, 2003 10 pages, 10 figures.
Giuseppe Longo +5 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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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).
Dong-Er Zhang +5 more
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On the distributions of multiplicative functions [PDF]
Acta Arithmetica, 1980 G. Jogesh Babu
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A Parametric Functional Equation Originating from Number Theory
Annales Mathematicae Silesianae, 2022 Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
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Divisor-bounded multiplicative functions in short intervals [PDF]
Research in the Mathematical Sciences, 2021 We extend the Matomäki–Radziwiłł theorem to a large collection of unbounded multiplicative functions that are uniformly bounded, but not necessarily bounded by 1, on the primes.
Alexander P. Mangerel
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Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
Annales Mathematicae Silesianae, 2023 In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.
Gryszka Karol
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The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line [PDF]
Annals of Probability, 2016 We prove that if $\omega$ is uniformly distributed on $[0,1]$, then as $T\to\infty$, $t\mapsto \zeta(i\omega T+it+1/2)$ converges to a non-trivial random generalized function, which in turn is identified as a product of a very well behaved random smooth ...
E. Saksman, Christian Webb
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