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

Volume 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


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.


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

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