The Partition Function and Ramanujan Congruences Public Deposited

http://ir.library.oregonstate.edu/concern/undergraduate_thesis_or_projects/3x816n325

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  • The study into specific properties of the partition function has been a rich topic for number theorists for many years. Much of the current work involving the arithmetic properties of the partition function and their seed in some keen observations of Ramanujan.In particular he discovered what are referred to as the Ramanujan Congruences of p(n). In his own words, "It appears that there are no equally simple properties for any moduli involving primes other than these three." It is this question put forth by Ramanujan that we will consider in this paper. In particular, the main topic of this paper will be a theorem of Ahlgren and Boylan which confirms Ramanujan's conjecture.
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  • description.provenance : Made available in DSpace on 2011-02-09T21:54:47Z (GMT). No. of bitstreams: 1 The Partition Function and Ramanujan Congruences.pdf: 241741 bytes, checksum: 9e23b757b6a5e36249e5d56b304e346b (MD5) Previous issue date: 2010-04-27
  • description.provenance : Approved for entry into archive by Sue Kunda(sue.kunda@oregonstate.edu) on 2011-02-09T21:54:47Z (GMT) No. of bitstreams: 1 The Partition Function and Ramanujan Congruences.pdf: 241741 bytes, checksum: 9e23b757b6a5e36249e5d56b304e346b (MD5)
  • description.provenance : Submitted by Kevin Campbell (kevin.campbell@oregonstate.edu) on 2011-02-09T21:44:34Z No. of bitstreams: 1 The Partition Function and Ramanujan Congruences.pdf: 241741 bytes, checksum: 9e23b757b6a5e36249e5d56b304e346b (MD5)

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