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Uniform Distribution Theory
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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 18. Issue 1


Published on

June, 2023


Pages

9-30


DOI

https://doi.org/10.2478/udt-2023-0002

Article

Notes on the Distribution of Roots Modulo Primes of a Polynomial IV


Authors

Yoshiyuki Kitaoka


Abstract

For polynomials f (x),g1(x),g2(x)over ℤ, we report several observations about the density of primes p for which f (x) is fully splitting at p and { g1(r)p }<{ g2(r)p } for some root r of f (x) ≡ 0 mod p.


Citation

Kitaoka, Y. (2023). Notes on the Distribution of Roots Modulo Primes of a Polynomial IV. Uniform distribution theory, 18(1), 9-30. https://doi.org/10.2478/udt-2023-0002