On the Discrepancy of the Roots of $x^2+1$ and $x^2+2$ to Prime Moduli

Timothy Foo

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arXiv · 1103.1253

On the Discrepancy of the Roots of $x^2+1$ and $x^2+2$ to Prime Moduli

Timothy Foo

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Abstract

In this paper, we make a conjecture (conjecture 1) related to the Bateman-Horn conjecture and proceed to study the roots of $x^2+1$ and $x^2+2$ to prime moduli, assuming the truth of the Bateman-Horn conjecture and conjecture 1 and using the Erdős-Turan-Koksma inequality.

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BibTeX RIS

Timothy Foo. 2012-10-03. On the Discrepancy of the Roots of $x^2+1$ and $x^2+2$ to Prime Moduli. https://arxiv.org/abs/1103.1253

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