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The arithmetic of partitions into distinct parts

Part of: Additive number theory; partitions

Published online by Cambridge University Press:  26 February 2010

Scott Ahlgren  and
Jeremy Lovejoy
Scott Ahlgren
Affiliation:
Department of Mathematics, Colgate University, Hamilton, NY 13346, U.S.A. Current address: Department of Mathematics, University of Illinois, Urbana, IL 61801, U.S.A. E-mail: ahlgren@math.uiuc.edu
Jeremy Lovejoy
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A. E-mail: lovejoy@math.wisc.edu
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Extract

A partition of the positive integer n into distinct parts is a decreasing sequence of positive integers whose sum is n, and the number of such partitions is denoted by Q(n). If we adopt the convention that Q(0) = 1, then we have the generating function

MSC classification

Secondary: 11P83: Partitions; congruences and congruential restrictions
Type
Research Article
Information
Mathematika , Volume 48 , Issue 1-2 , December 2001 , pp. 203 - 211
Copyright
Copyright © University College London 2001

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References

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