Quantitative analysis of the Satake parameters
 of $\mathrm {GL}_2$ representations with prescribed local representations

Yuk-Kam Lau; Charles Li; Yingnan Wang

doi:10.4064/aa164-4-3

Wydawnictwa / Czasopisma IMPAN / Acta Arithmetica / Wszystkie zeszyty

Quantitative analysis of the Satake parameters of $\mathrm {GL}_2$ representations with prescribed local representations

Tom 164 / 2014

Yuk-Kam Lau, Charles Li, Yingnan Wang Acta Arithmetica 164 (2014), 355-379 MSC: Primary 11F70; Secondary 11F72, 22E55. DOI: 10.4064/aa164-4-3

Streszczenie

We investigate the vertical version of the Sato–Tate conjecture for some $\operatorname {GL}_2$ automorphic representations over totally real fields with specified local components at a finite set of finite places.

Autorzy

Yuk-Kam LauDepartment of Mathematics
The University of Hong Kong
Pokfulam Road
Hong Kong
e-mail
Charles LiDepartment of Mathematics
The Chinese University of Hong Kong
Shatin
Hong Kong
e-mail
Yingnan WangCollege of Mathematics and Computational Science
Shenzhen University
Shenzhen, Guangdong 518060, P.R. China
e-mail

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