Geodesic
Quantitative analysis of the Satake parameters of $\mathrm {GL}_2$ representations with prescribed local representations
Yuk-Kam Lau1 ; Charles Li2 ; Yingnan Wang3
1 Department of Mathematics The University of Hong Kong Pokfulam Road Hong Kong
2 Department of Mathematics The Chinese University of Hong Kong Shatin Hong Kong
3 College of Mathematics and Computational Science Shenzhen University Shenzhen, Guangdong 518060, P.R. China
Acta Arithmetica, Tome 164 (2014) no. 4, pp. 355-379

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa164-4-3
Keywords: investigate vertical version sato tate conjecture operatorname automorphic representations totally real fields specified local components finite set finite places

Yuk-Kam Lau 1 ; Charles Li 2 ; Yingnan Wang 3

1 Department of Mathematics The University of Hong Kong Pokfulam Road Hong Kong
2 Department of Mathematics The Chinese University of Hong Kong Shatin Hong Kong
3 College of Mathematics and Computational Science Shenzhen University Shenzhen, Guangdong 518060, P.R. China 
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     title = {Quantitative analysis of the {Satake} parameters
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Yuk-Kam Lau; Charles Li; Yingnan Wang. Quantitative analysis of the Satake parameters
 of $\mathrm {GL}_2$ representations with prescribed local representations. Acta Arithmetica, Tome 164 (2014) no. 4, pp. 355-379. doi: 10.4064/aa164-4-3

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