The special \(L\)-value of the winding quotient of square-free level

DOI10.1007/s00229-016-0847-xzbMath1359.11065OpenAlexW2345729539MaRDI QIDQ728472

Amod Agashe

Publication date: 20 December 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-016-0847-x

zbMATH Keywords

Birch-Swinnerton-Dyer conjecturespecial \(L\)-valuewinding quotient

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

A note on the Eisenstein elements of prime square level

Uses Software

• ecdata

Cites Work

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• The Manin constant. (With an appendix by J. Cremona)
• Number theory III: Diophantine geometry
• Modular curves and the Eisenstein ideal
• Optimal quotients of modular Jacobians
• The Manin constant of an optimal quotient of \(J_0(431)\)
• Bounds for the torsion of elliptic curves over number fields
• COMPARISON OF INTEGRAL STRUCTURES ON SPACES OF MODULAR FORMS OF WEIGHT TWO, AND COMPUTATION OF SPACES OF FORMS MOD 2 OF WEIGHT ONE. WITH APPENDICES BY JEAN-FRANÇOIS MESTRE AND GABOR WIESE
• A visible factor of the special L-value
• Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres
• On invisible elements of the Tate-Shafarevich group
• Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero
• L'accouplement de Weil entre le sous-groupe de Shimura et le sous-groupe cuspidal de J0(p).
• The Eisenstein elements of modular symbols for level product of two distinct odd primes

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