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The sixth moment of automorphic $$L$$-functions. (English) Zbl 06722476
Summary: We consider the $$L$$-functions $$L(s,f)$$, where $$f$$ is an eigenform for the congruence subgroup $$\Gamma_1(q)$$. We prove an asymptotic formula for the sixth moment of this family of automorphic $$L$$-functions.

##### MSC:
 11F66 Langlands $$L$$-functions; one variable Dirichlet series and functional equations 11M41 Other Dirichlet series and zeta functions 11F67 Special values of automorphic $$L$$-series, periods of automorphic forms, cohomology, modular symbols
Zbl 1295.11087
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