A mean value of a triple product of L-functions

作者:Buttcane Jack; Khan Rizwanur*
来源:Mathematische Zeitschrift, 2017, 285(1-2): 565-591.
DOI:10.1007/s00209-016-1721-y

摘要

Luo has proven an optimal upper bound for the -norm of dihedral Maass forms of large eigenvalue, by bounding a mean value of triple product L-functions. Motivated by this result, we study a mean value of L-functions having similar shape, and obtain for it an asymptotic with power savings. Our work may be helpful in eventually obtaining an asymptotic for the L-4-norm.

  • 出版日期2017-2