关于Dirichlet函数零点的一个注记
Note on the Zeros of a Dirichlet Function
摘要:
研究了由特殊狄利克雷级数的解析延拓得到的函数在临界线外非平凡零点的存在性。与长期以来的假设相反,我们证明了这样的零不存在。
英文摘要:
The existence of non trivial zeros off the critical line for a function obtained by analytic continuation of a particular Dirichlet series is studied. Contrary to what has been presumed for a long time, we prove that such zeros cannot exist.
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