An analogue of Kolmogorov’s inequality for a class of additive arithmetic functions [PDF]
Pacific Journal of Mathematics, 1981 openaire +2 more sources
Discrepancy of arithmetic progressions in boxes and convex bodies
Mathematika, Volume 72, Issue 2, April 2026.Abstract The combinatorial discrepancy of arithmetic progressions inside [N]:={1,…,N}$[N]:= \lbrace 1, \ldots, N\rbrace$ is the smallest integer D$D$ for which [N]$[N]$ can be colored with two colors so that any arithmetic progression in [N]$[N]$ contains at most D$D$ more elements from one color class than the other.
Lily Li, Aleksandar Nikolov
wiley +1 more source
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
Acta Paediatrica, Volume 115, Issue 4, Page 797-799, April 2026.
Tzipi Horowitz‐Kraus +6 more
wiley +1 more source
On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability. [PDF]
Entropy (Basel)Czachor M.
europepmc +1 more source
Computing Rate-Distortion Functions of Continuous Memoryless Sources via Discrete Algorithms: An Integrated Scheme with Convergence Guarantee and Algorithmic Acceleration. [PDF]
Entropy (Basel)Chen L +5 more
europepmc +1 more source
Grüss-type inequalities involving functional bounds via analytic kernel fractional integral. [PDF]
MethodsXNeamah MK +3 more
europepmc +1 more source
Experimentally Self-Testing Partially Entangled Two-Qubit States on an Optical Platform. [PDF]
Entropy (Basel)Zhao X, Yang YH, Zhao LM, Luo MX.
europepmc +1 more source
Heat Conduction Model Based on the Explicit Euler Method for Non-Stationary Cases. [PDF]
Entropy (Basel)Érchegyi A, Rácz E.
europepmc +1 more source