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Asymptotic prime partitions of integers

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Bartel, Johann ; Bhaduri, R. K. ; Brack, Matthias ; Murthy, M. V. N.
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Date of publication of this fulltext: 20 Mar 2019 12:56


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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