Non-abelian congruences between \(L\)-values of elliptic curves

DOI10.5802/aif.2377zbMath1165.11077OpenAlexW1532881193MaRDI QIDQ931914

Daniel Delbourgo, Thomas Ward

Publication date: 4 July 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_3_1023_0

zbMATH Keywords

congruences\(p\)-adic \(L\)-function\(L\)-values

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) (K_1) of group rings and orders (19B28)

Related Items (10)

Congruences modulo $p$ between $\rho $-twisted Hasse-Weil $L$-values ⋮ Heegner cycles and congruences between anticyclotomic \(p\)-adic \(L\)-functions over CM-extensions ⋮ \({K}_{1}\)-congruences for three-dimensional Lie groups ⋮ Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction ⋮ Non-abelian \(p\)-adic \(L\)-functions and Eisenstein series of unitary groups -- the CM method ⋮ p-adic L-functions over the false Tate curve extensions ⋮ Congruences for convolutions of Hilbert modular forms ⋮ HIGHER ORDER CONGRUENCES AMONGST HASSE–WEIL -VALUES ⋮ EXCEPTIONAL ZEROES OF P-ADIC L-FUNCTIONS OVER NON-ABELIAN FIELD EXTENSIONS ⋮ NON-ABELIAN CONGRUENCES BETWEEN SPECIAL VALUES OF L-FUNCTIONS OF ELLIPTIC CURVES: THE CM CASE

Cites Work

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• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Corrections to The special values of the zeta functions associated with Hilbert modular forms
• Non-Archimedean L-functions of Siegel and Hilbert modular forms
• Discriminant of Hecke fields and twisted adjoint \(L\)-values for \(GL(2)\)
• \(p\)-adic interpolation of convolutions of Hilbert modular forms
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• \(K_1\) of some non-commutative completed group rings
• Special values of L -functions and false Tate curve extensions
• Computations in non-commutative Iwasawa theory
• Algebraicity of L-values for elliptic curves in a false Tate curve tower
• Root numbers of non-abelian twists of elliptic curves

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