Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 14, Issue 1


Published
on

August 28, 2018


Pages

87-104


DOI

Article

Notes on the Distribution of Roots Modulo a Prime of a Polynomial Ii

Check for updates


Authors

Yoshiyuki Kitaoka Affiliation:
(Author is retired) Asahi JAPAN


Abstract

Let f (x) be a monic polynomial with integer coefficients and 0 ≤ r 1 ≤ · · · ≤ r n < p its roots modulo a prime p. We generalize a conjecture on the distribution of roots r i with additional congruence relations r i ≡ R i mod L from the case that f has no non-trivial linear relation among roots to the case that f has a non-trivial linear relation.


Keywords

distribution, polynomial, roots modulo a prime.


Citation

(2019). Notes on the distribution of roots modulo a prime of a polynomial ii. Uniform Distribution Theory, 14(1), 87–104. https://doi.org/10.2478/udt-2019-0006

Published by: Engineering Journals

Engineering Journals Logo