Solvability of a System of Polynomial Equations Modulo Primes



: Järviniemi Olli

Publisher: CAMBRIDGE UNIV PRESS

: 2022

 Bulletin of the Australian Mathematical Society

: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

: B AUST MATH SOC

: 106

: 3

: 404

: 407

: 4

: 0004-9727

: 1755-1633

DOI: https://doi.org/10.1017/S0004972722000260

:  https://research.utu.fi/converis/portal/detail/Publication/174952246


Let F be a system of polynomial equations in one or more variables with integer coefficients. We show that there exists a univariate polynomial D is an element of Z[x] such that F is solvable modulo p if and only if the equation D(x) 0 (mod p) has a solution.

Last updated on 26/11/2024 08:18:58 PM