Rational root theorem

Known as: Rational roots, Rational root, Rational zeroes test

In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on…

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2013

In this paper,we first modify conditions of integer coefficients polynomial,then we extend the Eisenstein discrimination.The…

2012

Let $X$ be an $F$-finite smooth scheme of essentially finite type over a perfect field. This article proves the existence of $b…

2005

In 1997, Darmon and Merel proved the stunning result that the Diophantine equation x n + y n = z 2 has no nontrivial integer…

2005

This paper gives an important theory of multi pl e rational root of integer polynomial, the main results extend theory of rationa…

2004

2003

Convergent sums T=∑n=1∞P(n)/Q(n) and U=∑n=1∞(−1)nP(n)/Q(n) , where P(X), Q(X) ∈ Q[X], and Q(X) has only simple rational roots…

2003

The Shub-Smale Tau Conjecture is a hypothesis relating the number of integral roots of a polynomial f in one variable and the…

2002

Consider any nonzero univariate polynomial with rational coefficients, presented as an elementary algebraic expression (using…

1975

WHEN high school students are first exposed to the study of polynomial equa tions, they usually become excited over the rational…

1962

L7: eonlment This procedure will perform interpolation, differen-L8: tiation, or integration operating Ilpon functions of one…