On a conjecture of Berndt and Kim

Details On a conjecture of Berndt and Kim On a conjecture of Berndt and Kim

2011-12-20

arxiv.org/abs/1112.4727v1

Mathematics

Number Theory

Scientific paper

We prove a recent conjecture of Berndt and Kim regarding the positivity of
the coefficients in the asymptotic expansion of a class of partial theta
functions. This generalizes results found in Ramanujan's second notebook, and
recent work of Galway and Stanley.

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