Exact formulae for the fractional partition functions

Abstract The partition function p(n) has been a testing ground for applications of analytic number theory to combinatorics. In particular, Hardy and Ramanujan invented the “circle method” to estimate the size of p(n), which was later perfected by Rademacher who obtained an exact formula. Recently,...

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Bibliographic Details
Main Authors: Iskander, Jonas, Jain, Vanshika, Talvola, Victoria
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/131477