Year: 2025
Type: article
Abstract: In this work, we provide a concise proof of the logarithmic derivative lemma in $${\textbf{C}}^n$$ C n . We start by giving a complete proof of a critical result by Biancofiore and Stoll (Ann. of Math. Stud., No. 100, 29–45, 1981) via matrix theory, which is central to this area of study. Then, we follow Li (Trans. Amer. Math. Soc. 363, 6257–6267, 2011) and Ye (Math. Z. 222, 81–95, 1996) to present the shortest proof to date.
Authors: Qi Han, Jingbo Liu
Institution: Texas A&M University – San Antonio
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4410828698