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math.NT2012
The average of -norms of holomorphic cusp forms
Rizwanur Khan
We find the average value of the -norm of holomorphic Hecke cusp forms of weight within a dyadic interval, up to an error which saves a power of the weight.
math.NT2012★ 150 cited
Distribution of mass of holomorphic cusp forms
Valentin Blomer, Rizwanur Khan, Matthew Young
We prove an upper bound for the L^4-norm and for the L^2-norm restricted to the vertical geodesic of a holomorphic Hecke cusp form of large weight. The method is based on Watson's…