Liyang Yang

collaborators

4 papers

math.NT2019

Average of Dirichlet Coefficients of Cuspidal Representations Related to $\GL(2)$

Liyang Yang

Let $π$ 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 $(n)$

Dinakar Ramakrishnan, Liyang Yang

This Note answers, and generalizes, a question of Kaisa Matomäki. We show that give two cuspidal automorphic representations $π_{1}$ and $π_{2}$ of $G L_{n}$ over a number field $F$ of re…

math.NT2019

Holomorphy of Adjoint L-functions for $G L (n) :$ $n \leq 4$

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…

math.NT2016

On a Diophantine inequality involving a prime and an almost-prime

Liyang Yang

We prove that there are infinitely many solutions of $∣ λ_{0} + λ_{1} p + λ_{2} P_{r} ∣ < p^{- τ},$ where $r = 3,$ $τ = \frac{1}{118}$ , and $λ_{0}$ is an arbitrary real number and $λ_1,λ_2\in\BR$ with $λ…

Average of Dirichlet Coefficients of Cuspidal Representations Related to $\GL(2)$

A constraint for twist equivalence of cusp forms on GL(n)

Holomorphy of Adjoint L-functions for GL(n): n≤4

On a Diophantine inequality involving a prime and an almost-prime

A constraint for twist equivalence of cusp forms on GL $(n)$

Holomorphy of Adjoint L-functions for $G L (n) :$ $n \leq 4$