The Birch and Swinnerton-Dyer conjecture

DOI10.1007/PL00000565zbMath1041.14503OpenAlexW2082295286MaRDI QIDQ1404172

Jürg Kramer

Publication date: 20 August 2003

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000565

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

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• A classical Diophantine problem and modular forms of weight \(3/2\)
• Finiteness theorems for abelian varieties over number fields.
• Heegner points and derivatives of \(L\)-series
• On the conjecture of Birch and Swinnerton-Dyer
• Nonvanishing theorems for L-functions of modular forms and their derivatives
• ON THE MORDELL-WEIL AND SHAFAREVICH-TATE GROUPS FOR WEIL ELLIPTIC CURVES
• Notes on elliptic curves. I.

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