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Asymptotic prime partitions of integers

Bartel, Johann, Bhaduri, R. K., Brack, Matthias and Murthy, M. V. N. (2017) Asymptotic prime partitions of integers. Physical Review E 95 (5).

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Other URL: http://doi.org/10.1103/PhysRevE.95.052108


Abstract

In this paper, we discuss P(n), the number of ways a given integer n may be written as a sum of primes. In particular, an asymptotic form P-as(n) valid for n ->infinity is obtained analytically using standard techniques of quantum statistical mechanics. First, the bosonic partition function of primes, or the generating function of unrestricted prime partitions in number theory, is constructed. ...

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Item type:Article
Date:2017
Institutions:Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Identification Number:
ValueType
10.1103/PhysRevE.95.052108DOI
Keywords:;
Dewey Decimal Classification:500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39007
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