Quantitative analysis of the Satake parameters of GL₂ representations with prescribed local representations

Yuk-Kam Lau; Charles Li; Yingnan Wang

Acta Arithmetica (2014)

  • Volume: 164, Issue: 4, page 355-379
  • ISSN: 0065-1036

Abstract

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We investigate the vertical version of the Sato-Tate conjecture for some GL₂ automorphic representations over totally real fields with specified local components at a finite set of finite places.

How to cite

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Yuk-Kam Lau, Charles Li, and Yingnan Wang. "Quantitative analysis of the Satake parameters of GL₂ representations with prescribed local representations." Acta Arithmetica 164.4 (2014): 355-379. <http://eudml.org/doc/279799>.

@article{Yuk2014,
abstract = {We investigate the vertical version of the Sato-Tate conjecture for some GL₂ automorphic representations over totally real fields with specified local components at a finite set of finite places.},
author = {Yuk-Kam Lau, Charles Li, Yingnan Wang},
journal = {Acta Arithmetica},
keywords = {Satake parameters; equidistribution; representations},
language = {eng},
number = {4},
pages = {355-379},
title = {Quantitative analysis of the Satake parameters of GL₂ representations with prescribed local representations},
url = {http://eudml.org/doc/279799},
volume = {164},
year = {2014},
}

TY - JOUR
AU - Yuk-Kam Lau
AU - Charles Li
AU - Yingnan Wang
TI - Quantitative analysis of the Satake parameters of GL₂ representations with prescribed local representations
JO - Acta Arithmetica
PY - 2014
VL - 164
IS - 4
SP - 355
EP - 379
AB - We investigate the vertical version of the Sato-Tate conjecture for some GL₂ automorphic representations over totally real fields with specified local components at a finite set of finite places.
LA - eng
KW - Satake parameters; equidistribution; representations
UR - http://eudml.org/doc/279799
ER -

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