ANALYTIC AND PROBABILISTIC THEORY OF ADDITIVE ARITHMETICAL SEMIGROUPS

DOI10.1080/16073606.2001.9639221zbMath1007.11057OpenAlexW2023146911MaRDI QIDQ4531632

Wen-Bin Zhang

Publication date: 20 March 2003

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.2001.9639221

zbMATH Keywords

infinitely divisible distributionsmultiplicative functionscentral limit theoremsmean-value theoremabstract prime number theoremadditive arithmetical semigroups

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Generalized primes and integers (11N80)

Cites Work

• On a certain class of infinite products with an application to arithmetical semigroups
• Asymptotic isomer enumeration in chemistry
• Mean-value theorems of multiplicative functions on additive arithmetic semigroups
• Arithmetical semigroups related to trees and polyhedra
• Arithmetical semigroups. V: Multiplicative functions
• On the distribution of the degrees of prime element factors in additive arithmetical semigroups
• Analyse de la loi asymptotique de la distribution des nombres premiers généralises
• Elementary Proofs of the Abstract Prime Number Theorem for Algebraic Function Fields
• Tauberian Theorems for Sequences linked by a Convolution

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