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

Timothy Foo

arxiv: 1103.1253 · v3 · pith:7BBESBNLnew · submitted 2011-03-07 · 🧮 math.NT

On the Discrepancy of the Roots of x²+1 and x²+2 to Prime Moduli

Timothy Foo This is my paper

classification 🧮 math.NT

keywords conjecturebateman-hornmoduliprimerootsassumingdiscrepancyinequality

0 comments

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

This paper has not been read by Pith yet.

On the Discrepancy of the Roots of x²+1 and x²+2 to Prime Moduli

discussion (0)