Journal of Number Theory

Volume 7, Issue 4, November 1975, Pages 389-405

Cover image

Asymptotic relations for partitions

Author links open the overlay panel. Numbers correspond to the affiliation list which can be exposed by using the show more link.
L.B Richmond
Department of Computer Science, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2

Received 10 July 1972, Available online 30 June 2004

Communicated by K. F. Roth

doi:10.1016/0022-314X(75)90043-8

Get rights and content

Under an Elsevier user license

Open Archive

Abstract

Asymptotic expansions, similar to those of Roth and Szekeres, are obtained for the number of partitions of a positive integer into summands from a given set of integers under new restrictions.
Download full text in PDF

References

  • 1. 

    P.T Bateman, P Erdös

    Monotonicity of partition functions

    Mathematika, 3 (1956), pp. 1–14

  • 2. 

    K.F Roth, G Szekeres

    Some asymptotic formulae in the theory of partitions

    Quart. J. Math. Oxford Ser., 5 (1954), pp. 241–259

  • 3. 

    C W. Schwarz

    Mahler's partitions-problem

    J. Reine Angew. Math., 229 (1967), pp. 182–188

  • 4. 

    W Schwarz

    Schwache asymptotic Eigenschaften von Partionen

    J. Reine Angew. Math., 232 (1968), pp. 1–16

  • 5. 

    W Schwarz

    Asymptotische Formeln für Partititionen

    J. Reine Angew. Math., 234 (1969), pp. 172–178

  • 6. 

    E Grosswald

    The Theory of Numbers (4th ed.), Macmillan, New York (1966)

  • 7. 

    G Szekeres

    An asymptotic formula in the theory of partitions (II)

    Quart. J. Math. Oxford Ser., 4 (1953), pp. 96–111

open in overlay

Copyright © 1975 Published by Elsevier Inc.