Abstract
We prove an upper bound for the -norm and for the -norm restricted to the vertical geodesic of a holomorphic Hecke cusp form of large weight . The method is based on Watson’s formula and estimating a mean value of certain -functions of degree 6. Further applications to restriction problems of Siegel modular forms and subconvexity bounds of degree 8 -functions are given.
Citation
Valentin Blomer. Rizwanur Khan. Matthew Young. "Distribution of mass of holomorphic cusp forms." Duke Math. J. 162 (14) 2609 - 2644, November 2013. https://doi.org/10.1215/00127094-2380967
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