双纽线｜w^2十c｜=1的弧长

The Arc Length of the Lemniscate |w^2+c|=1

设s（c）为双纽线｜W2＋c｜＝1的弧长，c∈「0，＋∞）．该文讨论了s（c）的性质，并在n＝2的情况下解决了Erdos，Herzog和Piranian提出的一个猜测。

Let s(c) be the are length of the lemniscate |w2+c|=1, c ∈[0,+∞). In this paper we discuss some properties of the function s(c), and we solve the case n=2 of a conjecture proposed by Erdos, Herzog and Piranian.