Y. Kitaoka

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20172019

most citedStatistical distribution of roots of a polynomial modulo primes

1 citations · 2 across the 4 of their papers we have counts for

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math.NT2017★ 1 cited

Statistical distribution of roots of a polynomial modulo primes

Yoshiyuki Kitaoka

Let $f (x) = x^{n} + a_{n - 1} x^{n - 1} + \dots + a_{0}$ be an irreducible polynomial with integer coefficients. For a prime $p$ for which $f (x)$ is fully splitting modulo $p$ , we consider $n$ roo…

math.NT2017

Behaviour of the least root modulo a prime of a polynomial

Yoshiyuki Kitaoka

For a polynomial $f (x) \in Z [x]$ without non-trivial linear relations among roots, we propose a conjecture on the distribution of the least root $r_{p}$ ($r_p\in\mathbb Z,\,0\l…