A1 Refereed original research article in a scientific journal

Solvability of a System of Polynomial Equations Modulo Primes



Authors: Järviniemi Olli

Publisher: CAMBRIDGE UNIV PRESS

Publication year: 2022

Journal: Bulletin of the Australian Mathematical Society

Journal name in source: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

Journal acronym: B AUST MATH SOC

Volume: 106

Issue: 3

First page : 404

Last page: 407

Number of pages: 4

ISSN: 0004-9727

eISSN: 1755-1633

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

Self-archived copy’s web address:  https://research.utu.fi/converis/portal/detail/Publication/174952246


Abstract
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.

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Last updated on 2024-26-11 at 20:18