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The arithmetic of partitions into distinct parts
Author(s) -
Ahlgren Scott,
Lovejoy Jeremy
Publication year - 2001
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300014443
Subject(s) - mathematics , citation , library science , mathematics education , computer science
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