A theorem on analytic strong multiplicity one

作者：Liu Jianya; Wang Yonghui^*

来源：Journal of Number Theory, 2009, 129(8): 1874-1882.

DOI：10.1016/j.jnt.2008.10.009

Let K be an algebraic number field, and pi = circle times pi(v) an irreducible, automorphic, cuspidal representation of GL(m)(A(K)) with analytic conductor C(pi). The theorem on analytic strong multiplicity one established in this note states, essentially, that there exists a positive constant c depending on epsilon > 0, m, and K only, such that pi can be decided completely by its local components pi(v) with norm N(v) < c . C(pi)(2m epsilon).

• 出版日期2009-8
• 单位首都师范大学; 山东大学