On the complex moments of symmetric power $L$-functions at $s = 1$

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Sato–Tate theorem for families and low-lying zeros of automorphic $$L$$L-functions (2012, background): “We would like to thank Jim Arthur, Joseph Bernstein, Laurent Clozel, Julia Gordon, Nicholas Katz, Emmanuel Kowalski, Erez Lapid, Philippe Michel, Peter Sarnak, Kannan Soundararajan and Akshay Venkatesh for helpful discussions and comments.”
Weak subconvexity for central values of $L$-functions (2008, background): “In the context of symmetric square L-functions, see Luo [24], and Cogdell and Michel [4]. use the convexity bound to establish that (see Lemma 4.2 below)7 (1.7) ∑ n≤x aπ(n) ≪ x log x , provided x ≥ C 12 (logC)B for some positive constant B.”
Statistics for low-lying zeros of symmetric power L-functions in the level aspect (2007, background): “Indeed, much more is expected to hold (confer the detailed discussion in [5]) namely the following assumption, which lies in the spirit of Langlands’ program, is strongly believed to be true.”
A density theorem on automorphic L-functions and some applications (2005, methodology): “). Cogdell & Michel [ 2 ] achieve it in a more general context of compact groups.”