English

New bound on small range sum polynomials of degree

Number Theory 2024-09-06 v1

Abstract

The polynomials of degree p12\frac{p-1}{2} of range sum pp 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 2323 by introducing a new and elementary way of estimating sums of Legendre symbols.

Keywords

Cite

@article{arxiv.2409.03413,
  title  = {New bound on small range sum polynomials of degree},
  author = {Ádám Markó},
  journal= {arXiv preprint arXiv:2409.03413},
  year   = {2024}
}

Comments

12 pages

R2 v1 2026-06-28T18:35:09.546Z