Diophantine equation

English simple: Alternative forms en diophantine equation Noun en number theory A polynomial equation whose variables are only permitted to assume integer values. 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. en 2005 T. D. Browning w:Harold Davenport Analytic Methods for Diophantine Equations and Diophantine Inequalities 2nd w:Cambridge University Press https://books.google.com.au/books?id=RFnq_G9w4AoC&pg=PR1&dq=%22Diophantine+equation%22%7C%22Diophantine+equations%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwj_2NPJkMyAAxWUVfEDHXGxASwQ6AF6BAhgEAI#v=onepage&q=%22Diophantine%20equation%22%7C%22Diophantine%20equations%22&f=false i 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. en 2020 Hasan Sankari; Mohammad Abobala Neutrosophic Linear Diophantine Equations With Two Variables Neutrosophic Sets and Systems, Volume 38 University of New Mexico https://books.google.com.au/books?id=XuETEAAAQBAJ&pg=PA402&dq=%22Diophantine+equation%22%7C%22Diophantine+equations%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwj_2NPJkMyAAxWUVfEDHXGxASwQ6AF6BAhiEAI#v=onepage&q=%22Diophantine%20equation%22%7C%22Diophantine%20equations%22&f=false 402 The following theorem determines the criteria for the solvability of [a] neutrosophic linear Diophantine equation. Hyponyms en Pell's equation Pell’s equation Derived terms en exponential Diophantine equation Related terms en Diophantine analysis en Diophantine set Translations polynomial equation of integer variables Catalan: ca equació diofàntica f Chinese: Cantonese: yue 丟番圖方程 diu1 faan1 tou4 fong1 cing4 Mandarin: cmn 丟番圖方程 Diūfāntú fāngchéng Finnish: fi Diofantoksen yhtälö French: fr équation diophantienne f German: de diophantische Gleichung f Hungarian: hu diophantoszi egyenlet Italian: it equazione diofantea, it equazione diofantina Japanese: ja ディオファントス方程式 Polish: pl równanie diofantyczne n Portuguese: pt equação diofantina f Romanian: ro ecuație diofantică f Russian: ru диафа́нтово уравне́ние n Spanish: es ecuación diofántica f, es ecuación diofantina f Swedish: sv diofantisk ekvation c Further reading Hilbert's tenth problem en Algebra Mathematics