Journal article
Subconvexity for Rankin-Selberg L-Functions of Maass Forms
Geometrical and Functional Analysis GAFA, Vol.12(6), pp.1296-1323
12/2002
DOI: 10.1007/s00039-002-1296-0
Abstract
In this paper we prove a subconvexity bound for Rankin–Selberg L-functions $L(s,f \otimes g)$ associated with a Maass cusp form f and a fixed cusp form g in the aspect of the Laplace eigenvalue 1/4 + k2 of f, on the critical line Re s = 1/2. Using this subconvexity bound, we prove the equidistribution conjecture of Rudnick and Sarnak [RS] on quantum unique ergodicity for dihedral Maass forms, following the work of Sarnak [S2] and Watson [W]. Also proved here is that the generalized Lindelöf hypothesis for the central value of our L-function is true on average.
Details
- Title: Subtitle
- Subconvexity for Rankin-Selberg L-Functions of Maass Forms
- Creators
- Jianya Liu - Department of Mathematics Shandong University Jinan, Shandong 250100 ChinaYangbo Ye - Department of Mathematics The University of Iowa Iowa City Iowa 52242-1419 USA
- Resource Type
- Journal article
- Publication Details
- Geometrical and Functional Analysis GAFA, Vol.12(6), pp.1296-1323
- DOI
- 10.1007/s00039-002-1296-0
- ISSN
- 1016-443X
- eISSN
- 1420-8970
- Publisher
- Birkhäuser-Verlag; Basel
- Language
- English
- Date published
- 12/2002
- Academic Unit
- Mathematics
- Record Identifier
- 9983985973402771
Metrics
22 Record Views