论文标题
傅立叶分析和在正整数处的Zeta函数的封闭形式
Fourier Analysis and the closed form for the Zeta Function at even positive integers
论文作者
论文摘要
使用$ x^{2k} $的傅立叶系数获得的求和身份，我们使用Aladdi和Defant [1]中的现有证据中的技术类似于Zeta函数的封闭式表达式，但以一种简单和更短的方式。
Using a summation identity obtained for the Fourier coefficients of $x^{2k}$, we derive a closed form expression for the zeta function at even positive integers, using a technique similar to one in an existing proof by Aladdi and Defant[1], but in a simpler and shorter way.
