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- W2164313669 abstract "Given a pair of positive integers and such that , for integer the quantity , called the partition function is considered; this by definition is equal to the cardinality of the set The properties of and its asymptotic behaviour as are studied. A geometric approach to this problem is put forward. It is shown that for sufficiently large , where and are positive constants depending on and , and and are characteristics of the exponential growth of the partition function. For some pair the exponents and are calculated as the logarithms of certain algebraic numbers; for other pairs the problem is reduced to finding the joint spectral radius of a suitable collection of finite-dimensional linear operators. Estimates of the growth exponents and the constants and are obtained." @default.
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- W2164313669 date "2000-04-30" @default.
- W2164313669 modified "2023-10-16" @default.
- W2164313669 title "Asymptotic behaviour of the partition function" @default.
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- W2164313669 doi "https://doi.org/10.1070/sm2000v191n03abeh000464" @default.
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