New bound on small range sum polynomials of degree

Ádám Markó

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arXiv · 2409.03413

New bound on small range sum polynomials of degree

Ádám Markó

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Abstract

The polynomials of degree $\frac{p-1}{2}$ of range sum $p$ was determined in {\tt arXiv:2311.06136 [math.NT]} for large enough primes. We extend this result by reducing the lower bound for the primes to $23$ by introducing a new and elementary way of estimating sums of Legendre symbols.

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Ádám Markó. 2024-09-05. New bound on small range sum polynomials of degree. https://arxiv.org/abs/2409.03413

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