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Uniform Distribution Theory
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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 14. Issue 1


Published on

June, 2019


Pages

87-104


DOI

https://doi.org/10.2478/udt-2019-0006

Article

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


Authors

Yoshiyuki Kitaoka


Abstract

Let f (x) be a monic polynomial with integer coefficients and 0 ≤ r1 ≤ ··· ≤ rn<p its roots modulo a prime p. We generalize a conjecture on the distribution of roots ri with additional congruence relations ri ≡ Ri 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.


Citation

Kitaoka, Y. (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