Kevin O'Bryant

Affiliation: University of California, San Diego

Email: kobryant@math.ucsd.edu

Title Of Talk: The Parity of the Partition Function

Abstract: A folklore conjecture states that the set of n such that p(n) (the unrestricted partition function) is odd has density 1/2. In joint work with Joshua Cooper and Dennis Eichhorn, we give solid heuristics for why this is the case, and prove that it is indeed the case for functions satisfying recurrences similar to Euler's Pentagonal Number recurrence.


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