On the limit shape of elements of an arithmetic semigroup with an exponentially growing counting function of basis elements

DOI10.1134/S1064562417030115zbMath1430.11136OpenAlexW2735906006MaRDI QIDQ2404285

Vsevolod L. Chernyshev, D. S. Minenkov, Vladimir E. Nazaikinskii

Publication date: 18 September 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417030115

zbMATH Keywords

Bose-Einstein statisticsarithmetic semigroups

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Large deviations (60F10)

Cites Work

• On the rate of convergence to the Bose-Einstein distribution
• On the Bose-Maslov statistics in the case of infinitely many degrees of freedom
• On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators
• Statistical mechanics of combinatorial partitions, and their limit shapes
• On the distribution of integer random variables related by a certain linear inequality. I
• Behavior of quasi-particles on hybrid spaces. Relations to the geometry of geodesics and to the problems of analytic number theory
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