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The partition function

2009
Abstract This chapter introduces the partition function, which encodes all the information concerning the states of a system and their thermal occupation. Topics discussed include writing down the partition function, obtaining the functions of state, and combining partition functions.
Stephen J. Blundell   +1 more
openaire   +1 more source

On the Expansion of the Partition Function in a Series

The Annals of Mathematics, 1943
1. A geometric property of the Farey series, discovered by L. R. Ford (1) is used in this note for the construction of a new path of integration to replace the circle carrying the Farey dissection, first introduced by Hardy and Ramanujan in their classical paper (2).
openaire   +2 more sources

Partition function of improved Tietz oscillators

Chemical Physics Letters, 2017
Chun-Sheng Jia, Chao-Wen Wang
exaly  

On a Certain Partition Function

American Journal of Mathematics, 1940
openaire   +1 more source

Log-concavity of the partition function

Ramanujan Journal, 2014
Stephen DeSalvo, Igor Pak
exaly  

PARTITION-GENERATING FUNCTIONS

The Quarterly Journal of Mathematics, 1931
openaire   +2 more sources

A holomorphic and background independent partition function for matrix models and topological strings

Journal of Geometry and Physics, 2011
Bertrand Eynard, Marcos MariƱo
exaly  

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