Topics in Diophantine Equations

DOI10.1007/978-3-642-15945-9_2zbMath1238.11002OpenAlexW2104419071MaRDI QIDQ3169286

H. P. F. Swinnerton-Dyer

Publication date: 28 April 2011

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15945-9_2

zbMATH Keywords

Manin's conjecturecurvesHasse principleBrauer-Manin obstructionDiophantine equationspencils of conicsthe Hardy-Littlewood methodSchinzel's hypothesiszeta functions and \(L\)-series\(2\)-descent on elliptic curvespencils of curves of genus \(1\)Salberger's devicethe Legendre-Jacobi functionvarieties of higher dimension

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) [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)] (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35)

Related Items (2)

The Hardy–Littlewood conjecture and rational points ⋮ On the fibration method for zero-cycles and rational points

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