Archimedean Godement-Jacquet zeta integrals and test functions

作者：Lin, Bingchen^*

来源：Journal of Number Theory, 2018, 191: 396-426.

DOI：10.1016/j.jnt.2018.03.020

• Zeta integrals
• Principal L-functions
• Theta correspondence
• Joint harmonics
• Lowest K-types
• Test functions

We uniformly find suitable functions, which are called test functions, in the space of joint harmonics of Schrodinger model such that the Godement-Jacquet zeta integrals are equal to the principal L-functions for GL(n)(R). We give the explicit expressions for test functions by using Langlands parameters and harmonic functions.

• 出版日期2018-10
• 单位四川大学