Article
Notes on the Distribution of Roots Modulo Primes of a Polynomial Iv
Authors
Abstract
For polynomials f(x), g1(x), g2(x) over ℤ, we report several observations on the density of primes p for which f(x) is fully splitting at p and
\(\left\{\frac{g_1(r)}{p}\right\} < \left\{\frac{g_2(r)}{p}\right\}\)
for some root r of f(x) ≡ 0 \pmod p.
Keywords
equidistribution, polynomial, roots modulo a prime.
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
Y. Kitaoka, “Notes on the distribution of roots modulo primes of a polynomial iv,” Uniform Distribution Theory, vol. 18, no. 1, pp. 9–30, 2023, doi: 10.2478/UDT-2023-0002.
Kitaoka Y. Notes on the distribution of roots modulo primes of a polynomial iv. Uniform Distribution Theory. 2023;18(1):9–30. doi:10.2478/UDT-2023-0002.
Kitaoka, Y. (2023), ‘Notes on the distribution of roots modulo primes of a polynomial iv’, Uniform Distribution Theory, 18(1), pp. 9–30. Available at: https://doi.org/10.2478/UDT-2023-0002.
Kitaoka, Yoshiyuki. “Notes on the Distribution of Roots Modulo Primes of a Polynomial Iv.” Uniform Distribution Theory, vol. 18, no. 1, 2023, pp. 9–30. https://doi.org/10.2478/UDT-2023-0002.
Kitaoka, Yoshiyuki. “Notes on the Distribution of Roots Modulo Primes of a Polynomial Iv.” Uniform Distribution Theory 18, no. 1 (2023): 9–30. https://doi.org/10.2478/UDT-2023-0002.
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Published by: Engineering Journals
