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.

published proceedings

  • DUKE MATHEMATICAL JOURNAL

altmetric score

  • 0.75

author list (cited authors)

  • Blomer, V., Khan, R., & Young, M.

citation count

  • 61

complete list of authors

  • Blomer, Valentin||Khan, Rizwanur||Young, Matthew

publication date

  • January 2013