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Fourier transforms related to ζ(s)
Proceedings of the Edinburgh Mathematical Society ( IF 0.7 ) Pub Date : 2021-04-30 , DOI: 10.1017/s0013091521000092
Pablo A. Panzone

Using some formulas of S. Ramanujan, we compute in closed form the Fourier transform of functions related to Riemann zeta function $\zeta (s)=\sum \nolimits _{n=1}^{\infty } {1}/{n^{s}}$ and other Dirichlet series.

中文翻译:

与 ζ(s) 相关的傅里​​叶变换

使用 S. Ramanujan 的一些公式,我们以封闭形式计算与黎曼 zeta 函数相关的函数的傅里叶变换$\zeta (s)=\sum \nolimits _{n=1}^{\infty } {1}/{n^{s}}$和其他狄利克雷系列。
更新日期:2021-04-30
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