Year: 2026
Type: preprint
Abstract: For every $ρ$ in (0, 1/2), we construct an entire function F of order $ρ$ whose logarithmic derivative has zero as a deficient value. This disproves an old conjecture of W. H. J. Fuchs.
Source: arXiv (Cornell University)
Authors: Eremenko, Alexandre, Zhang, Teng
Institutions: Purdue University West Lafayette, Xi'an Jiaotong University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214171896