L-series with nonzero central critical value

DOI10.1090/S0894-0347-98-00263-XzbMath0904.11015OpenAlexW1954227471MaRDI QIDQ4396473

Kevin L. James

Publication date: 14 June 1998

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-98-00263-x

zbMATH Keywords

\(L\)-functionquadratic twistnonzero central critical value

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

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On ranks of quadratic twists of a Mordell curve ⋮ Indivisibility of class numbers of imaginary quadratic fields ⋮ Secondary terms in counting functions for cubic fields ⋮ GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS ⋮ On the proportion of rank 0 twists of elliptic curves ⋮ Canonical periods and congruence formulae ⋮ ON TWISTS OF THE FERMAT CUBIC x³ + y³ = 2 ⋮ Elliptic curves of rank 1 satisfying the 3-part of the Birch and Swinnerton-Dyer conjecture ⋮ \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field ⋮ ON POSITIVE PROPORTION OF RANK-ZERO TWISTS OF ELLIPTIC CURVES OVER ⋮ Rank-one quadratic twists of an infinite family of elliptic curves ⋮ On the Quadratic Twists of a Family of Elliptic Curves ⋮ Elliptic curves satisfying the Birch and Swinnerton-Dyer conjecture mod 3 ⋮ Mordell-Weil ranks of quadratic twists of pairs of elliptic curves.

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