diophantine equations
1Diophantine equation — In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for… …
2Diophantine geometry — In mathematics, diophantine geometry is one approach to the theory of Diophantine equations, formulating questions about such equations in terms of algebraic geometry over a ground field K that is not algebraically closed, such as the field of… …
3Diophantine set — In mathematics, a Diophantine equation is an equation of the form P(x1, ..., xj, y1, ..., yk)=0 (usually abbreviated P(x,y)=0 ) where P(x,y) is a polynomial with integer coefficients. A Diophantine set is a subset S of Nj [1] so that for some… …
4Diophantine approximation — In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The absolute value of the difference between the real number to be approximated and… …
5diophantine equation — /duy euh fan tuyn, teen, fan tn/, Math. an equation involving more than one variable in which the coefficients of the variables are integers and for which integral solutions are sought. [1925 30; named after Diophantus, 3rd century A.D. Greek… …
6Diophantine — Di o*phan tine, a. Originated or taught by Diophantus, the Greek writer on algebra. [1913 Webster] {Diophantine analysis} (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given… …
7Diophantine analysis — Diophantine Di o*phan tine, a. Originated or taught by Diophantus, the Greek writer on algebra. [1913 Webster] {Diophantine analysis} (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that… …
8Équations diophantiennes — Équation diophantienne Édition de 1670 des Arithmétiques de Diophante d Alexandrie. Une équation diophantienne, en mathématiques, est une équation dont les coefficients sont des nombres entiers et dont les solutions recherchées sont également… …
9Glossary of arithmetic and Diophantine geometry — This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of… …
10Polynomial Diophantine equation — In mathematics, a polynomial Diophantine equation is an indeterminate polynomial equation whose solutions are restricted to be polynomials in the indeterminate. A Diophantine equation, in general, is one where the solutions are restricted to some …
