Article
Statistical Distribution of Roots Modulo Primes of an Irreducible and Decomposable Polynomial of Degree 4
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Abstract
For an irreducible polynomial f (x) = (x2 + ax)2 + b(x2 + ax) + c of degree 4 and a natural number L, we propose a conjecture of distribution of roots r1, r2, r3, r4 of f modulo a prime p satisfying ri ≡ 0 mod L and 0 ≤ ri ≤ pL − 1.
Keywords
polynomial, roots modulo prime, distribution.
Citation
Kitaoka, Y. (2015). Statistical distribution of roots modulo primes of an irreducible and decomposable polynomial of degree 4. Uniform Distribution Theory, 10(2), 1–10.
Y. Kitaoka, “Statistical distribution of roots modulo primes of an irreducible and decomposable polynomial of degree 4,” Uniform Distribution Theory, vol. 10, no. 2, pp. 1–10, 2015.
Kitaoka Y. Statistical distribution of roots modulo primes of an irreducible and decomposable polynomial of degree 4. Uniform Distribution Theory. 2015;10(2):1–10.
Kitaoka, Y. (2015), ‘Statistical distribution of roots modulo primes of an irreducible and decomposable polynomial of degree 4’, Uniform Distribution Theory, 10(2), pp. 1–10.
Kitaoka, Yoshiyuki. “Statistical Distribution of Roots Modulo Primes of an Irreducible and Decomposable Polynomial of Degree 4.” Uniform Distribution Theory, vol. 10, no. 2, 2015, pp. 1–10.
Kitaoka, Yoshiyuki. “Statistical Distribution of Roots Modulo Primes of an Irreducible and Decomposable Polynomial of Degree 4.” Uniform Distribution Theory 10, no. 2 (2015): 1–10.
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Published by: Engineering Journals
