Article
Notes on the Distribution of Roots Modulo a Prime of a Polynomial
Authors
Abstract
Let f (x) be a monic polynomial in Z[x] with roots α 1 , . . . , α n. We point out the importance of linear relations among 1, α 1 , . . . , α n over rationals with respect to the distribution of local roots of f modulo a prime. We formulate it as a conjectural uniform distribution in some sense, which elucidates data in previous papers.
Keywords
distribution, polynomial, roots modulo a prime.
Citation
Kitaoka, Y. (2017). Notes on the distribution of roots modulo a prime of a polynomial. Uniform Distribution Theory, 12(2), 91–117. https://doi.org/10.1515/udt-2017-0017
Y. Kitaoka, “Notes on the distribution of roots modulo a prime of a polynomial,” Uniform Distribution Theory, vol. 12, no. 2, pp. 91–117, 2017, doi: 10.1515/udt-2017-0017.
Kitaoka Y. Notes on the distribution of roots modulo a prime of a polynomial. Uniform Distribution Theory. 2017;12(2):91–117. doi:10.1515/udt-2017-0017.
Kitaoka, Y. (2017), ‘Notes on the distribution of roots modulo a prime of a polynomial’, Uniform Distribution Theory, 12(2), pp. 91–117. Available at: https://doi.org/10.1515/udt-2017-0017.
Kitaoka, Yoshiyuki. “Notes on the Distribution of Roots Modulo a Prime of a Polynomial.” Uniform Distribution Theory, vol. 12, no. 2, 2017, pp. 91–117. https://doi.org/10.1515/udt-2017-0017.
Kitaoka, Yoshiyuki. “Notes on the Distribution of Roots Modulo a Prime of a Polynomial.” Uniform Distribution Theory 12, no. 2 (2017): 91–117. https://doi.org/10.1515/udt-2017-0017.
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Published by: Engineering Journals
