Results 31 to 40 of about 84 (68)

Complete solution of parametrized Thue equations [PDF]

, 1998
Heuberger, C., Tichy, R. F., Pethő, A.
core   +1 more source

Brauer Groups, Tamagawa Measures, and Rational Points on Algebraic Varieties

, 2014
J. Jahnel
semanticscholar   +1 more source

Classical Algebra: Its Nature, Origins, and Uses

, 2008
Roger Cooke
semanticscholar   +1 more source

A remark on a theorem of W E H Berwick

, 1986
N. Tzanakis
semanticscholar   +1 more source

Cubic and Quartic Diophantine Equations

Springer Undergraduate Mathematics Series, 2020
In Chapters 3 and 4 we were concerned with quadratic equations in two variables, but were only allowing ourselves integer solutions. An equation involving polynomials together with the constraint that we are only interested in integer solutions is called a Diophantine equation. In this sense we have been considering ‘quadratic Diophantine equations’.
Ward Thomas
exaly   +4 more sources

From the algebraic methods of Diophantus-Fermats-Euler to the arithmetic of algebraic curves:about the history of diophantine equations after Euler

Чебышевский сборник, 2021
Talking about the Diophantine analysis’ history, namely, the problem of rational solutions of Diophantine equations, we should note the longevity of the algebraic approach, which goes back to Diophantus’ “Arithmetica”.
T. Lavrinenko, A. A. Belyaev
semanticscholar   +2 more sources

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The Non-Existence of Integer Solutions to The Quartic-Cubic Diophantine Equation Y3 + Xy = X4 + 4: A Complete Resolution Via Factorization and Modular Arithmetic

International Journal of Research and Scientific Innovation
We establish the complete non-existence of integer solutions to the Diophantine equation y3 + xy = x4 +4, thereby resolving an open problem in the classification of quartic- cubic Diophantine equations.
Abhay Vivek Siddhartha
semanticscholar   +4 more sources