When Newton met Diophantus: A Study of Rational-Derived Polynomials and Their Extension to Quadratic Fields-Reference-Cited by-同舟云学术

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When Newton met Diophantus: A Study of Rational-Derived Polynomials and Their Extension to Quadratic Fields

Published:2000-04 Issue:2 Volume:81 Page:210-233
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Buchholz Ralph H,MacDougall James A

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference34 articles.

1. Problem E3221;Batnik;Amer. Math. Monthly,1987

2. The Mordell conjecture revisted;Bombieri;Ann. Scuola Norm. Pisa Cl. Sci. (4),1990

3. Nice cubic polynomials for curve sketching;Bruggeman;Math. Mag.,1980

4. Rational derived quartics;Buchholz;Bull. Austral. Math. Soc.,1995

5. Nice cubic polynomials, pythagorean triples, and the law of cosines;Buddenhagen;Math. Mag.,1992

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The parameterization of nice and Q-nice polynomials with four roots;Journal of Physics: Conference Series;2018-11

2. On K-derived quartics;Journal of Number Theory;2016-11

3. Building the Biggest Box: Three-factor Polynomials and a Diophantine Equation;Mathematics Magazine;2016-06

4. A diophantine problem from calculus;Journal of Number Theory;2015-08

5. Covering Techniques and Rational Points on Some Genus 5 Curves;Contemporary Mathematics;2015

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