Log-concavity of the overpartition function.

Autor: Engel, Benjamin
Zdroj: Ramanujan Journal; Jun2017, Vol. 43 Issue 2, p229-241, 13p
Abstrakt: We prove that the overpartition function $$ \overline{p}(n)$$ is log-concave for all $$ n\ge 2 $$ . The proof is based on Sills-Rademacher-type series for $$ \overline{p}(n)$$ and inspired by DeSalvo and Pak's proof for the partition function. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index