Elliptic curves: Progress and applications

zbMath0708.14019MaRDI QIDQ920164

Don Zagier

Publication date: 1990

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

zbMATH Keywords

Mordell-Weil groupTate-Shafarevich groupL-functionFermat problemconjecture of Taniyama and Weilrational points of an elliptic curve

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Cubic and quartic Diophantine equations (11D25)

Related Items (4)

Four rational squares in arithmetic progressions and a family of elliptic curves with positive Mordell-Weil rank ⋮ A geometric approach to Euler's addition formula ⋮ On Fermat's quadruple equations ⋮ Diophantine \(m\)-tuples and elliptic curves

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