On sup-norms of cusp forms of powerful level
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Volume
19
Publisher
DOI
10.4171/JEMS/746
Journal
Journal of the European Mathematical Society
Issue
ISSN
1435-9855
Metadata
Show full item recordAbstract
Let f be an L^2-normalized Hecke--Maass cuspidal newform of level N and Laplace eigenvalue \lambda. It is shown that |f|_\infty <<_{\lambda, \epsilon} N^{-1/12 + \epsilon} for any \epsilon>0. The exponent is further improved in the case when N is not divisible by "small squares". Our work extends and generalizes previously known results in the special case of N squarefree.
Authors
Saha, ACollections
- Mathematics [1444]