# On the parity of generalized partition functions, III.

Abstract : Improving on some results of J.-L. Nicolas, 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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Journal articles

https://hal.archives-ouvertes.fr/hal-00333009
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• HAL Id : hal-00333009, version 1
• ARXIV : 0810.4017

### Citation

Fethi Ben Said, Jean-Louis Nicolas, Ahlem Zekraoui. On the parity of generalized partition functions, III.. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2010, 22, pp.51-78. ⟨hal-00333009⟩

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