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Published March 1985 | public
Journal Article

Zeros of L-functions attached to Maass forms

Abstract

This paper considers PSL(2,ℤ)-automorphic cusp forms (the Maass forms) and their associated Dirichlet series. There are two major results. The first uses real variable techniques to give an explicit reconstruction of the cusp form in terms of the Dirichlet series. This representation is valid in the entire upper half-plane. The second uses this representation to show that the Dirichlet series has many zeros on its critical line. This is the analogue of the Hardy-Littlewood result for the Riemann zeta function.

Additional Information

© 1985 Springer-Verlag. Received April 16, 1984.

Additional details

Created:
August 19, 2023
Modified:
October 25, 2023