The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “The q-Mellin transform of automorphic forms and converse theorems”

Nonvanishing of automorphic L-functions at special points

Zhao Xu (2014)

Acta Arithmetica

Similarity:

At some special points, we establish a nonvanishing result for automorphic L-functions associated to the even Maass cusp forms in short intervals by using the mollification technique.

K-finite Whittaker functions are of finite order one

(2013)

Acta Arithmetica

Similarity:

We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.

Exotic approximate identities and Maass forms

Fernando Chamizo, Dulcinea Raboso, Serafín Ruiz-Cabello (2013)

Acta Arithmetica

Similarity:

We obtain some approximate identities whose accuracy depends on the bottom of the discrete spectrum of the Laplace-Beltrami operator in the automorphic setting and on the symmetries of the corresponding Maass wave forms. From the geometric point of view, the underlying Riemann surfaces are classical modular curves and Shimura curves.