关于扩展Selberg类中Dirichlet级数唯一性的进一步研究

A further study on uniqueness in the extended Selberg class of Dirichlet series

本文研究了扩展Selberg类中?函数的唯一性问题.首先,证明了?函数完全由它的a值点的集合除去一个可能的例外集唯一确定,其中a≠1为常数.其次,研究了涉及有理函数的?函数的唯一性问题.

The paper concerns the uniqueness problems of ？-function in the extended Selberg class. Firstly,we show that an ？-function is uniquely determined by the zeros of L-a except possibly a small set G, where a ≠1 is a fixed constant. Secondly, we study the uniqueness question of ？-function with a rational moving target R.