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arXiv · 1605.05584

The Least Number with Prescribed Legendre Symbols

Brandon Hanson·Robert C. Vaughan·Ruixiang Zhang
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Abstract

In this article we estimate the number of integers up to $X$ which can be represented by a positive-definite, binary integral quadratic form of discriminant which is small relative to $X$. This follows from understanding the vector of signs when computing the Legendre symbol of small integers $n$ at multiple primes.

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Brandon Hanson, Robert C. Vaughan, Ruixiang Zhang. 2016-05-18. The Least Number with Prescribed Legendre Symbols. https://arxiv.org/abs/1605.05584

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