The Non-Vanishing of L(1) for Certain Elliptic Curves with no First Descents

DOI10.2307/2373583zbMath0296.14015OpenAlexW2328927307MaRDI QIDQ4049206

Michael J. Razar

Publication date: 1974

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373583

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items (max. 100)

A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial ⋮ The ``main conjectures of Iwasawa theory for imaginary quadratic fields ⋮ A classical Diophantine problem and modular forms of weight \(3/2\) ⋮ A criterion for elliptic curves with second lowest 2-power in \(L(1)\). II ⋮ Some functions related to the derivatives of the L-series of an elliptic curve at s=1

This page was built for publication: The Non-Vanishing of L(1) for Certain Elliptic Curves with no First Descents