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arXiv · 1409.4129

On a Frobenius problem for polynomials

Ricardo Conceição·Rodrigo Gondim·Miguel Rodriguez
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Abstract

We extend the famous diophantine Frobenius problem to the case of polynomials over a field $k$. Similar to the classical problem, we show that the $n=2$ case of the Frobenius problem for polynomials is easy to solve. In addition, we translate a few results from the Frobenius problem over $\mathbb{Z}$ to $k[t]$ and give an algorithm to solve the Frobenius problem for polynomials over a field $k$ of sufficiently large size.

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Ricardo Conceição, Rodrigo Gondim, Miguel Rodriguez. 2014-09-15. On a Frobenius problem for polynomials. https://arxiv.org/abs/1409.4129

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