On the number of representations of positive integers by the quadratic form .

Lomadze, G.

Displaying similar documents to “On the number of representations of positive integers by the quadratic form $x_{1}^{2} + \dots + x_{8}^{2} + 4 x_{9}^{2}$ .”

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Fethi Ben Saïd, Jean-Louis Nicolas, Ahlem Zekraoui (2010)

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

Displaying similar documents to “On the number of representations of positive integers by the quadratic form x 1 2 + ⋯ + x 8 2 + 4 x 9 2 .”

Displaying similar documents to “On the number of representations of positive integers by the quadratic form $x_{1}^{2} + \dots + x_{8}^{2} + 4 x_{9}^{2}$ .”