Some functions related to the derivatives of the L-series of an elliptic curve at s=1

DOI10.24033/msmf.283zbMath0491.12011OpenAlexW2584311231MaRDI QIDQ3952206

Michael J. Razar

Publication date: 1980

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1980_2_2__73_0

zbMATH Keywords

Birch-Swinnerton-Dyer conjecturesderivatives of L-series of elliptic curve

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions of number fields (11R42)

Related Items (3)

Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions ⋮ Ramanujan type formulas for \(\zeta (2k-1)\) ⋮ The theory of zeta functions of several complex variables. I

Cites Work

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• On the conjecture of Birch and Swinnerton-Dyer
• The Non-Vanishing of L(1) for Certain Elliptic Curves with no First Descents
• A Relation Between the Two-Component of the Tate-Safarevic Group and L(1) for Certain Elliptic Curves
• Notes on elliptic curves. II.
• The diophantine equation X3 + Y3 = DZ3 and the conjectures of Birch and Swinnerton-Dyer.

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