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arXiv · 1609.06090

On the restricted partition function

Mircea Cimpoeas·Florin Nicolae
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Abstract

For a vector $\mathbf a=(a_1,\ldots,a_r)$ of positive integers we prove formulas for the restricted partition function $p_{\mathbf a}(n): = $ the number of integer solutions $(x_1,\dots,x_r)$ to $\sum_{j=1}^r a_jx_j=n$ with $x_1\geq 0, \ldots, x_r\geq 0$ and its polynomial part.

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Mircea Cimpoeas, Florin Nicolae. 2018-01-01. On the restricted partition function. https://doi.org/10.1007/s11139-017-9985-3

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