A geometric approach to equal sums of fifth powers

DOI10.1016/0022-314X(81)90019-6zbMath0472.10020MaRDI QIDQ1158192

Andrew Bremner

Publication date: 1981

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

parametric solutionquartic surface

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Special surfaces (14J25)

Related Items

Equal sums of three powers ⋮ A new approach to polynomial identities ⋮ A new diophantine equation involving fifth powers ⋮ Equal sums of like powers and equal products of integers ⋮ On a certain nonary cubic form and related equations ⋮ Representation of a rational number as a sum of ninth or higher odd powers ⋮ A new method of solving certain quartic and higher degree diophantine equations ⋮ Unnamed Item ⋮ Equal sums of like powers, both positive and negative ⋮ A quintic Diophantine equation with applications to two Diophantine systems concerning fifth powers ⋮ Some Diophantine equations with almost all solutions trivial ⋮ Rational points of the symmetric diagonal equations ⋮ SYMMETRIC HOMOGENEOUS DIOPHANTINE EQUATIONS OF ODD DEGREE ⋮ Computational investigations of the Prouhet-Tarry-Escott Problem ⋮ The diophantine equation \(ax^5+by^5+cz^5=au^5+bv^5+cw^5\)

Cites Work

• Unnamed Item
• Unnamed Item
• On sums of squares and on elliptic curves over function fields
• A Geometric Approach to Equal Sums of Sixth Powers
• On Sums of Fifth Powers
• A Survey of Equal Sums of Like Powers
• Geometric Aspects of Diophantine Equations Involving Equal Sums of Like Powers