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The Partition Functions

2010
The main purpose of this chapter is to discuss the theory of Dahmen–Micchelli describing the difference equations that are satisfied by the quasipolynomials that describe the partition function \(\mathcal{T}_X\) on the big cells. These equations allow also us to develop possible recursive algorithms.
Corrado De Concini, Claudio Procesi
openaire   +1 more source

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

Some inequalities for k-colored partition functions

Ramanujan Journal, 2018
Shane Chern, Shishuo Fu, Dazhao Tang
exaly  

Tests of approximation schemes for vibrational energy levels and partition functions for triatomics: H2O and SO2

Journal of Chemical Physics, 1981
Alan D Isaacson   +2 more
exaly  

Recursion formulas for quantum statistical partition functions

Journal of Chemical Physics, 1993
Peter Borrmann
exaly  

The piecewise polynomial partition of unity functions for the generalized finite element methods

Computer Methods in Applied Mechanics and Engineering, 2008
Hae-Soo Oh, Won-Tak Hong
exaly  

On a Certain Partition Function

American Journal of Mathematics, 1940
openaire   +1 more source

A Complexity Dichotomy for Partition Functions with Mixed Signs

SIAM Journal on Computing, 2010
Leslie Ann Goldberg   +2 more
exaly  

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