Dictionary

Diophantine equation en · NOUN

Meanings

1. A polynomial equation whose variables are only permitted to assume integer values.
   • 2020, Hasan Sankari, Mohammad Abobala, Neutrosophic Linear Diophantine Equations With Two Variables, in Neutrosophic Sets and Systems, Volume 38, University of New Mexico, page 402, The following theorem determines the criteria for the solvability of [a] neutrosophic linear Diophantine equation.
   • 1993, Ross Talent, Alf van der Poorten (translation editors), Vladimir G. Sprindžuk, Classical Diophantine Equations, Springer, Lecture Notes in Mathematics 1559, page viii, Nevertheless, the fundamental idea of Skolem's method, the reduction of algebraic diophantine equations to exponential equations, has shown exceptional vitality in recent episodes of the theory of diophantine equations.
   • Based on lectures he^([Davenport]) gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. 2005, Harold Davenport, edited by T. D. Browning, Analytic Methods for Diophantine Equations and Diophantine Inequalities, 2nd edition, Cambridge University Press, page i:

Forms

Deriveds

exponential Diophantine equation

Hyponyms

Pell’s equation

Relateds

Diophantine analysis · Diophantine set

Translations (17)

hu diophantoszi egyenlet (polynomial equation of integer variables) · ro ecuație diofantică (polynomial equation of integer variables) · ru диафа́нтово уравне́ние (polynomial equation of integer variables) · fi Diofantoksen yhtälö (polynomial equation of integer variables) · cmn 丟番圖方程 /丢番图方程 (polynomial equation of integer variables) · ca equació diofàntica (polynomial equation of integer variables) · es ecuación diofántica (polynomial equation of integer variables) · pl równanie diofantyczne (polynomial equation of integer variables) · it equazione diofantea (polynomial equation of integer variables) · sv diofantisk ekvation (polynomial equation of integer variables) · yue 丟番圖方程 /丢番图方程 (polynomial equation of integer variables) · fr équation diophantienne (polynomial equation of integer variables) · es ecuación diofantina (polynomial equation of integer variables) · ja ディオファントス方程式 (polynomial equation of integer variables) · it equazione diofantina (polynomial equation of integer variables) · de diophantische Gleichung (polynomial equation of integer variables) · pt equação diofantina (polynomial equation of integer variables)