L-函数的唯一性

林伟川, 林培强

数学学报 ›› 2018, Vol. 61 ›› Issue (4) : 601-608.

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数学学报 ›› 2018, Vol. 61 ›› Issue (4) : 601-608. DOI: 10.12386/A2018sxxb0054
论文

L-函数的唯一性

    林伟川1,2, 林培强2
作者信息 +

Uniqueness Theorems of L-Functions

    Wei Chuan LIN1,2, Pei Qiang LIN2
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文章历史 +

摘要

本文利用Nevanlinna理论,研究了在广义Selberg类中的L-函数的唯一性.证明了存在两个集合S1(含有一个或两个元素),S2(含有三个元素),使得当{E}(Sif)=ESiL),i=1,2时,有fL.

Abstract

Using Nevanlinna theory, we study the uniqueness theorems of L-functions in the (extended) Selberg class and prove that there exist two sets S1 (including one or two elements) and S2 (including three elements) such that fL if E(Si, f)=E(Si, L) for i=1, 2.

关键词

黎曼&zeta / 函数 / L-函数 / 分担集合 / 唯一性

Key words

Riemann &zeta / function / L-function / sharing-set / uniqueness

引用本文

导出引用
林伟川, 林培强. L-函数的唯一性. 数学学报, 2018, 61(4): 601-608 https://doi.org/10.12386/A2018sxxb0054
Wei Chuan LIN, Pei Qiang LIN. Uniqueness Theorems of L-Functions. Acta Mathematica Sinica, Chinese Series, 2018, 61(4): 601-608 https://doi.org/10.12386/A2018sxxb0054

参考文献

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基金

国家自然科学基金资助项目(11371225);福建省自然科学资助项目(2011J01006)

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