Some Conjectures on Elliptic Curves over Cyclotomic Fields

DOI10.2307/1999064zbMath0509.14021OpenAlexW4247561234MaRDI QIDQ4748269

Carlo Viola, Dorian Goldfeld

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999064

zbMATH Keywords

zeta-functionsBirch Swinnerton- Dyer conjectureelliptic curves over cyclotomic fields

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Holomorphic modular forms of integral weight (11F11) Zeta functions and (L)-functions of number fields (11R42)

Related Items (1)

Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series

Cites Work

• Unnamed Item
• The arithmetic of elliptic curves
• Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip
• La conjecture de Weil. I
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen

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