Koustav Banerjee, Manosij Ghosh Dastidar,
"Inequalities for the partition function arising from truncated theta series"
, Serie RISC Report Series, Nummer 22-20, RISC, JKU, Hagenberg, Linz, 7-2022, ISSN: 2791-4267
Original Titel:
Inequalities for the partition function arising from truncated theta series
Sprache des Titels:
Englisch
Original Kurzfassung:
Positivity questions related to the partition function arising from classical theta identities have been studied in the combinatorial and q-series framework. Two such identities that emerge from truncation of Euler?s pentagonal number theorem and an identity due to Gauss are the predominant ones among others. In this paper, we prove the asymptotic growth of coefficients of truncation of theta series directly from inequalities for the shifted partition function.