WITHDRAWN: A proof of the Krzyz conjecture
Complex Variables
2025-05-05 v3
Abstract
WITHDRAWN: The proof contains an uncorrectable gap in the proof of theorem 7 on page 11. A proof of the Krzyz conjecture is presented, based on the application of the variational method, as well as on the use of two classical results and some of their consequences. The mentioned results are the Caratheodory-Toeplitz criterion of continuing a polynomial to a Caratheodory class function, and the Riesz-Fejer theorem about trigonometric polynomials. This is an English translation of a preprint originally published in Russian: https://preprints.ru/article/1799
Keywords
Cite
@article{arxiv.2504.10223,
title = {WITHDRAWN: A proof of the Krzyz conjecture},
author = {Denis Stupin},
journal= {arXiv preprint arXiv:2504.10223},
year = {2025}
}
Comments
This is an English translation of a preprint originally published in Russian: https://preprints.ru/article/1799