New bound on small range sum polynomials of degree

Fuente: arXiv
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Main Author: Markó, Ádám
Format: Preprint
Published: 2024
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author Markó, Ádám
author_facet Markó, Ádám
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_03413
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle New bound on small range sum polynomials of degree
Markó, Ádám
Number Theory
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.
title New bound on small range sum polynomials of degree
topic Number Theory
url https://arxiv.org/abs/2409.03413