Partition functions
نویسندگان
چکیده
منابع مشابه
Restricted integer partition functions
For two sets A and M of positive integers and for a positive integer n, let p(n,A,M) denote the number of partitions of n with parts in A and multiplicities in M , that is, the number of representations of n in the form n = ∑ a∈Amaa where ma ∈M ∪{0} for all a, and all numbers ma but finitely many are 0. It is shown that there are infinite sets A and M so that p(n,A,M) = 1 for every positive int...
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Duality arguments are used to determine D-instanton contributions to certain effective interaction terms of type II supergravity theories in various dimensions. This leads to exact expressions for the partition functions of the finite N D-instanton matrix model in d = 4 and 6 dimensions that generalize our previous expression for the case d = 10. These results are consistent with the fact that ...
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In the last chapter, we have been introduced to the three main ensembles used in statistical mechanics and some examples of calculations of partition functions were also given. In chemistry, we are concerned with a collection of molecules. If the molecules are reasonably far apart as in the case of a dilute gas, we can approximately treat the system as an ideal gas system and ignore the intermo...
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Vector part i t ion functions appear in m a n y areas of mathemat ics and its applications, including representat ion theory [ 9 ] , commuta t ive algebra [ 14], approximat ion theory [ 4 ] and statistics [5 ] . It was shown by Blakley [ 2 ] that there exists a finite decomposi t ion of N d such that ~b A is a polynomial of degree n d on each piece. Here we describe such a decomposi t ion expli...
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ژورنال
عنوان ژورنال: Astronomy & Astrophysics
سال: 2016
ISSN: 0004-6361,1432-0746
DOI: 10.1051/0004-6361/201527209