Results 31 to 40 of about 69 (56)
Asymptotically counting points of bounded height [PDF]
, 2008 Widmer, Martin Lucien
core +1 more source
Complete solution of parametrized Thue equations [PDF]
, 1998 Heuberger, C., Tichy, R. F., Pethő, A.
core +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’.
Manfred Leopold Einsiedler
exaly +3 more sources
Some of the next articles are maybe not open access.
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. Our proof employs a novel synthesis of classical techniques: we utilize Sophie Germain’s identity for the factorization of quartic forms, develop a com-
Aditya Patil, Abhay Nenavath
openaire +2 more sources
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. Our proof employs a novel synthesis of classical techniques: we utilize Sophie Germain’s identity for the factorization of quartic forms, develop a com-
Aditya Patil, Abhay Nenavath
openaire +2 more sources
Diophantine Problems Related to Cyclic Cubic and Quartic Fields
Journal of Number Theory, 2022Maciej Ulas, Szabolcs Tengely
exaly
Cubic Equation of State as a Quartic in Disguise
Fluid Phase Equilibria, 2021Naman Kukreja +2 more
exaly