Results 231 to 240 of about 75,572 (265)
Some of the next articles are maybe not open access.
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
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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
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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
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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
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On the Expansion of the Partition Function in a Series
The Annals of Mathematics, 19431. 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).
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On the Asymptotics of the Binary Partition Function
Mathematical Notes, 2004For integers \(k\), \(d\geq 2\), let \(b(d,k)\) denote the number of partitions of \(k\) into powers of 2 wherein no part is repeated more than \(d-1\) times. The asymptotic behaviour of \(b(\infty,k)\) as \(k\to\infty\) was studied by numerous authors, see a paper by \textit{B. Reznick} [in: Analytic Number Theory (Allerton Park, IL, 1989), Prog. Math.
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Some inequalities for k-colored partition functions
Ramanujan Journal, 2018Shishuo Fu, Shane Chern, Dazhao Tang
exaly
A Complexity Dichotomy for Partition Functions with Mixed Signs
SIAM Journal on Computing, 2010Martin Grohé +2 more
exaly