scientific article; zbMATH DE number 1347169

DOI10.1023/A:1001529706709zbMath0941.11013MaRDI QIDQ4267403

Nils Bruin

Publication date: 10 August 2000

Published in: Compositio Mathematica (Search for Journal in Brave)

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

elliptic curveJacobian varietyChabauty methodcurves of genus 2generalised Fermat equation

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Higher degree equations; Fermat's equation (11D41)

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Lucas sequences whose 12th or 9th term is a square ⋮ A REFINED MODULAR APPROACH TO THE DIOPHANTINE EQUATION x² + y²ⁿ = z³ ⋮ Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\) ⋮ Generalized Fermat equations: A miscellany ⋮ Reverse engineered Diophantine equations over \(\mathbb{Q}\) ⋮ Reverse engineered Diophantine equations ⋮ The Chabauty–Coleman bound at a prime of bad reduction and Clifford bounds for geometric rank functions ⋮ THE DIOPHANTINE EQUATION A⁴ + 2^δB² = Cⁿ ⋮ TERAI'S CONJECTURE ON EXPONENTIAL DIOPHANTINE EQUATIONS ⋮ The generalized Fermat equation with exponents 2, 3, ⋮ On a class of generalized Fermat equations of signature \((2,2n,3)\) ⋮ The primitive solutions to \(x^3+y^9=z^2\) ⋮ Computation of Sets of Rational Points of Genus-3 Curves via the Dem'Janenko–Manin Method ⋮ Upper bounds for solutions of an exponential Diophantine equation

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