Master of Science Thesis, University of New South Wales, 1982
Some Congruence Properties of the Partition Function
by
Francis G. Garvan
  • Introduction
  • Chapter I - A simple proof of Watson's partition congruences for powers of 7 (pp. 1 - 26)
  • Chapter II - Atkin's partition congruences modulo powers of 5 (pp. 27 - 41)
  • Chapter III - Some new congruences for the partition function modulo powers of 7 (pp. 42 - 56)
  • Chapter IV - Congruences for p-k(n) (pp. 57 - 92)
  • Chapter V - An elementary proof of p(11n+6) = 0 mod 11 and some further identities (pp. 93 - 125)
  • Bibliography (pp. 126 - 127)

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Created by F.G. Garvan (fgarvan@ufl.edu) on Thursday, November 11, 2010.
Last update made Thu Nov 11 21:50:12 EST 2010.

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