The Least Number with Prescribed Legendre Symbols
Number Theory
2016-11-01 v2
Abstract
In this article we estimate the number of integers up to which can be represented by a positive-definite, binary integral quadratic form of discriminant which is small relative to . This follows from understanding the vector of signs when computing the Legendre symbol of small integers at multiple primes.
Keywords
Cite
@article{arxiv.1605.05584,
title = {The Least Number with Prescribed Legendre Symbols},
author = {Brandon Hanson and Robert C. Vaughan and Ruixiang Zhang},
journal= {arXiv preprint arXiv:1605.05584},
year = {2016}
}
Comments
This is the second edition of the article. An error from the first edition has been corrected