author = {K. Banerjee and M. G. Dastidar},
title = {{Inequalities for the partition function arising from truncated theta series}},
language = {english},
abstract = {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.},
number = {22-20},
year = {2022},
month = {August},
keywords = {Partitions, theta series, asymptotics.},
length = {12},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}