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arXiv · 2409.16437

Degree gap of polynomials of small range sum

Ádám Markó·Gábor Somlai
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Abstract

Polynomials of degree $\frac{p-1}{2}$ of range sum $p$ were determined by the second authors relying on a joint work of the authors by Kiss and Nagy. We prove that for large enough primes there is no polynomial of degree $\frac{p+1}{2}$ of range sum $p$.

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Ádám Markó, Gábor Somlai. 2024-09-24. Degree gap of polynomials of small range sum. https://arxiv.org/abs/2409.16437

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