On the parity of generalized partition functions III

Details On the parity of generalized partition functions III On the parity of generalized partition functions III

2008-10-22

arxiv.org/abs/0810.4017v1

Mathematics

Number Theory

Scientific paper

Improving on some results of J.-L. Nicolas \cite {Ndeb}, the elements of the
set ${\cal A}={\cal A}(1+z+z^3+z^4+z^5)$, for which the partition function
$p({\cal A},n)$ (i.e. the number of partitions of $n$ with parts in ${\cal A}$)
is even for all $n\geq 6$ are determined. An asymptotic estimate to the
counting function of this set is also given.

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