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

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

2011-03-07

arxiv.org/abs/1103.1253v1

Mathematics

Number Theory

Scientific paper

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 Erd\H{o}s-Turan-Koksma inequality.

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