Results 21 to 30 of about 10,952,690 (356)
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
doaj +1 more source
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
About Smarandache-Multiplicative Functions [PDF]
, 1997 The main objective of this note is to introduce the notion of the S-multiplicative function and to give some simple properties concerning it. The name of S-multiplicative is short for Smarandache-multiplicative and reflects the main equation of the ...
Tabirca, Sabin
core +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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.
openaire +3 more sources
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
semanticscholar +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
On the Complexity of Computing Two Nonlinearity Measures [PDF]
, 2014 We study the computational complexity of two Boolean nonlinearity measures: the nonlinearity and the multiplicative complexity. We show that if one-way functions exist, no algorithm can compute the multiplicative complexity in time $2^{O(n)}$ given the ...
A.A. Razborov +10 more
core +1 more source