Hardy-Ramanujan formula and thermodynamics of quantum string
Published: 09.10.2014
Authors: Shishanin A.O.
Published in issue: #3(27)/2014
DOI: 10.18698/2308-6033-2014-3-1272
Category: Basic science | Chapter: Physics
For partitions of natural numbers, there is an asymptotic formula of the Hardy-Ramanujan. In this paper we propose to compare this formula with the number of microstates, using entropy calculation of the quantum string by means of Euler-Maclaurin formula. The work briefly touches upon a different approach, using counting the number of states through the inverse Laplace transformation of the partition function.
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