On the Bose-Maslov statistics in the case of infinitely many degrees of freedom

DOI10.1134/S1064562416030297zbMath1357.11095OpenAlexW2465977501MaRDI QIDQ334435

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

Publication date: 1 November 2016

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

Full work available at URL: https://doi.org/10.1134/s1064562416030297

zbMATH Keywords

counting functionBose statisticsabstract analytic number theoryarithmetical semigroupdecorated graphsdistribution of abstract primesPerron formulatheory of partitions

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Analytic theory of partitions (11P82) Inverse problems of additive number theory, including sumsets (11P70) Generalized primes and integers (11N80) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (6)

Disinformation theory for bosonic computational media ⋮ On the limit shape of elements of an arithmetic semigroup with an exponentially growing counting function of basis elements ⋮ On logarithmic asymptotics for the number of restricted partitions in the exponential case ⋮ Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom ⋮ On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators ⋮ 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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