论文标题
Eisenstein系列新形式的第一个负傅里叶系数
The first negative Fourier coefficient of an Eisenstein series newform
论文作者
论文摘要
关于统计问题的统计问题有很多论文，这些问题涉及新形式的傅立叶系数的符号变化。在一篇论文中，Linowitz和Thompson提出了一个猜想，描述了何时发生Eisenstein系列新形式的傅立叶系数的第一个负迹象。在本文中，我们纠正了他们的猜想，并证明了更正的版本。
There have been a number of papers on statistical questions concerning the sign changes of Fourier coefficients of newforms. In one such paper, Linowitz and Thompson gave a conjecture describing when, on average, the first negative sign of the Fourier coefficients of an Eisenstein series newform occurs. In this paper, we correct their conjecture and prove the corrected version.
