L-函数的唯一性
Uniqueness Theorems of L-Functions
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}(Si,f)=E(Si,L),i=1,2时,有f≡L.
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 f ≡ L if E(Si, f)=E(Si, L) for i=1, 2.
黎曼&zeta / 函数 / L-函数 / 分担集合 / 唯一性 {{custom_keyword}} /
Riemann &zeta / function / L-function / sharing-set / uniqueness {{custom_keyword}} /
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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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