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 \(x_1\ge 0, \ldots , x_r\ge 0\) and its polynomial part.
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We thank the referee for the valuable suggestions which helped to improve our paper.
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The first author was supported by a Grant of the Romanian National Authority for Scientific Research, CNCS - UEFISCDI, Project Number PN-II-ID-PCE-2011-1023.
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Cimpoeaş, M., Nicolae, F. On the restricted partition function. Ramanujan J 47, 565–588 (2018). https://doi.org/10.1007/s11139-017-9985-3
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DOI: https://doi.org/10.1007/s11139-017-9985-3