Large values of short character sums

2017/12/21 by Kalmynin, Alexander · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1712.08080

Abstract

In this paper, we prove that for any A>0 there exist infinitely many primes p for which sums of the Legendre symbol modulo p over an interval of length (ln p)^A can take large values.

Cited by

• Quadratic character sums with multiplicative coefficients

Related

• Character Sums Over The Prime Numbers
• Long nonnegative sums of Legendre symbols
• Large values of character sums with multiplicative coefficients
• Large character sums with multiplicative coefficients
• Bounds on short character sums and L-functions for characters with a smooth modulus