Basel问题的一句真正初等的证明
A One-Sentence and Truly Elementary Proof of the Basel Problem
摘要:
通过对E. L.斯塔克[E. L.张明,积分的中值定理在级数求和中的应用,《美国数学月刊》第85期(1978)481- 483页。我们得到了一个被认为是著名的巴塞尔问题的最短和最基本的证明之一的候选人。此外,我们给出了一个关于这个主题的参考文献的综合列表,按时间顺序显示从欧拉到现在。
英文摘要:
By doing a slight change to a beautiful and widely unknown argument by E. L. Stark [E. L. Stark, Application of a Mean Value Theorem for Integrals to Series Summation, Amer. Math. Monthly 85 (1978) 481--483.] we get a candidate to be considered as one of the shortest and most elementary proofs of the celebrated Basel Problem. Furthermore, we give a comprehensive list of references on this topic, displayed in chronological order from Euler to present.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。