Asymptotic relations for partitions-Reference-Cited by-同舟云学术

Asymptotic relations for partitions

Published:1976 Issue:0 Volume:219 Page:379-385
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Richmond L. B.

Abstract

Asymptotic relations are obtained for the number p A ( n ) {p_A}(n) of partitions of the integer n into summands from a set A of integers. The set A is subject to certain conditions; however the only arithmetic condition is that A have property P k {P_k} of Bateman and Erdös. A conjecture of Bateman and Erdös concerning the kth differences of p A ( n ) {p_A}(n) may be verified using these asymptotic relations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1976-219-00/S0002-9947-1976-0412137-2/S0002-9947-1976-0412137-2.pdf

Reference5 articles.

1. Monotonicity of partition functions;Bateman, P. T.;Mathematika,1956

2. Asymptotic relations for partitions;Richmond, L. B.;J. Number Theory,1975

3. The moments of partitions. II;Richmond, L. Bruce;Acta Arith.,1975

4. Some asymptotic formulae in the theory of partitions;Roth, K. F.;Quart. J. Math. Oxford Ser. (2),1954

5. L. B. Richmond, Asymptotic results for partitions. II; Conjecture of Bateman and Erdös, J. Number Theory (to appear).

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