Asymptotics for the Number of Strongly Unimodal Sequences

作者:Rhoades Robert C*
来源:International Mathematics Research Notices, 2014, (3): 700-719.
DOI:10.1093/imrn/rns226

摘要

We give an asymptotic for the number of strongly unimodal sequences of weight n, denoted u*(n) with an error of size O(n(1+epsilon)). The result relies on an identity expressing the generating function for u*(n) as a mixed mock modular form.

  • 出版日期2014