Congruences modulo \(l\) between \(\varepsilon\) factors for cuspidal representations of \(\mathrm{GL}(2)\)

DOI10.5802/jtnb.297zbMath0974.11022OpenAlexW2033372065MaRDI QIDQ5939727

Marie-France Vignéras

Publication date: 30 July 2001

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2000__12_2_571_0

zbMATH Keywords

local Langlands correspondence

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (4)

La conjecture de Langlands locale pour GL(n,F) modulo quand ≠p, >n ⋮ Rankin-Selberg local factors modulo \(\ell \) ⋮ CHARACTERIZING THE MOD- LOCAL LANGLANDS CORRESPONDENCE BY NILPOTENT GAMMA FACTORS ⋮ THE -MODULAR LOCAL LANGLANDS CORRESPONDENCE AND LOCAL CONSTANTS

Cites Work

• Conducteur des représentations du groupe linéaire
• \({\mathcal D}\)-elliptic sheaves and the Langlands correspondence
• Characterization of the local Langlands conjecture by \(\varepsilon\)-factors for pairs
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Automorphic forms on GL (2)
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Rankin-Selberg Convolutions
• Les Constantes des Equations Fonctionnelles des Fonctions L
• Integral Kirillov model
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