A Lemma of Borel

Lemma (Borel). If \(g_1,\cdots,g_n\) are entire functions such that

\[e^{g_1}+\cdots+e^{g_n}=1 \]

then some \(g_i\) is constant.

Proof. TODO

posted @ 2022-11-02 08:07  ChaliceSeven  阅读(14)  评论(0编辑  收藏  举报