We examine two truncated series derived from a classical theta identity of Gauss. As a consequence, we obtain two infinite families of inequalities for the overpartition function counting the number of overpartitions into odd parts. We provide partition-theoretic interpretations of these results.
|Original language||English (US)|
|Title of host publication||Trends in Mathematics|
|Publisher||Springer Science and Business Media Deutschland GmbH|
|Number of pages||9|
|State||Published - 2021|
|Name||Trends in Mathematics|
All Science Journal Classification (ASJC) codes