Integers that are sums of two rational sixth powers

DOI10.4153/S0008439522000157OpenAlexW3122615737MaRDI QIDQ5882705

Jeremy Rouse, Unnamed Author

Publication date: 17 March 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09390

zbMATH Keywords

elliptic curveFermat curveMordell-Weil sievesixth power

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50) Special algebraic curves and curves of low genus (14H45)

Uses Software

• Magma

Cites Work

• Finding rational points on elliptic curves using 6-descent and 12-descent
• A new characterization of the integer 5906
• Heegner points and derivatives of \(L\)-series
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• The Magma algebra system. I: The user language
• The Mordell–Weil sieve: proving non-existence of rational points on curves
• Explicit n-descent on elliptic curves, II. Geometry
• Simple Factors of the Jacobian of a Fermat Curve and the Picard Number of a Product of Fermat Curves
• Equal sums of four seventh powers
• Explicit application of Waldspurger’s theorem
• Conditional bounds for the least quadratic non-residue and related problems
• On Fermat's Last Theorem
• Explicit n-descent on elliptic curves, I. Algebra
• Explicit $n$-descent on elliptic curves III. Algorithms
• Number Theory

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