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

• Autorzy: Yuk-Kam Lau , Charles Li , Yingnan Wang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 22E55: Representations of Lie and linear algebraic groups over global fields and ad\`ele rings
• 11F70: Representation-theoretic methods; automorphic representations over local and global fields
• 11F72: Spectral theory; Selberg trace formula

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 164
• Numer: 4
• Strony: 355-379

Daty

wydano

2014

Twórcy

autor

Yuk-Kam Lau

• Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

autor

Charles Li

• Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong

autor

Yingnan Wang

• College of Mathematics and Computational Science, Shenzhen University, Shenzhen, Guangdong 518060, P.R. China

Identyfikatory

DOI

10.4064/aa164-4-3