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math.NT2019
Average of Dirichlet Coefficients of Cuspidal Representations Related to $\GL(2)$
Liyang Yang
Let be a cuspidal representation on $\GL(2,\mathbb{A}_{\mathbb{Q}}).$ We give nontrivial lower and upper bounds for average of absolute values of Dirichlet coefficients associa…
math.NT2019
A constraint for twist equivalence of cusp forms on GL
Dinakar Ramakrishnan, Liyang Yang
This Note answers, and generalizes, a question of Kaisa Matomäki. We show that give two cuspidal automorphic representations and of over a number field of re…
math.NT2019
Holomorphy of Adjoint L-functions for
Liyang Yang
We show entireness of complete adjoint L-functions associated to \textbf{any} cuspidal representations of $\GL(3)$ or $\GL(4)$ over an arbitrary global field. Twisted cases are als…