Typical shape of elements in an arithmetical semigroup with exponentially growing prime counting function and deviations from the Bose-Einstein distribution

DOI10.1134/S0001434618110408zbMath1439.11260OpenAlexW2906981401MaRDI QIDQ668328

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

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618110408

zbMATH Keywords

partitionasymptoticsBose-Einstein distribution\(G\)-prime counting functionabstract integer

Mathematics Subject Classification ID

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

Cites Work

• On the rate of convergence to the Bose-Einstein distribution
• Beurling zeta functions, generalised primes, and fractal membranes
• Fluctuations of the maximal particle energy of the quantum ideal gas and random partitions
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