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Your search keyword '"*NUMBER theory"' showing total 1 results
Start Over Descriptor "*NUMBER theory" Topic asymptotic Topic mathematical functions Journal journal of mathematical analysis & applications Publisher academic press inc.

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1 results on '"*NUMBER theory"'

1. Asymptotic inequalities for -ranks and their cumulation functions.

Author

Mao, Renrong

Subjects
*RANKING (Statistics), *MATHEMATICAL functions, *MATHEMATICAL formulas, *PARTITIONS (Mathematics), *MATHEMATICAL proofs, *NUMBER theory
Abstract

Abstract: Asymptotic formulas for the positive moments of rank and crank of partitions were obtained by K. Bringmann and K. Mahlburg recently. Motivated by their works, in this paper, we prove asymptotic formulas for the -ranks and their cumulation functions. Asymptotic inequalities between these combinatorial objects are also discovered. In particular, we show that, for fixed integer and sufficiently large , and where (resp. ) denotes the number partitions of with crank (resp. rank) . [Copyright &y& Elsevier]

Published
2014
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