Distribution of mass of holomorphic cusp forms Academic Article uri icon

abstract

  • We prove an upper bound for the L4-norm and for the L2-norm restricted to the vertical geodesic of a holomorphic Hecke cusp form f of large weight k. The method is based on Watson's formula and estimating a mean value of certain L-functions of degree 6. Further applications to restriction problems of Siegel modular forms and subconvexity bounds of degree 8 L-functions are given. © 2013.

altmetric score

  • 0.75

author list (cited authors)

  • Blomer, V., Khan, R., & Young, M.

citation count

  • 41

publication date

  • November 2013