Retraction Note: Proof of the Jacobian Conjecture in the Two-Dimensional Case and Global Isochronous Centers of Polynomial Hamiltonian Differential Systems
- Authors: Amel'kin V.V1
-
Affiliations:
- Belarusian State University, Minsk, 220030, Belarus
- Issue: Vol 59, No 3 (2023)
- Pages: 432-432
- Section: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/144936
- DOI: https://doi.org/10.31857/S0374064123030147
- EDN: https://elibrary.ru/QVWIJB
- ID: 144936
Cite item
Abstract
The author has retracted this article. The main results of the work, namely Theorem 1 and the corollaries arising from it, have not been strictly proven: formulas (8) are valid only under the condition
. Yet, even when the indicated condition is met, formulas (9) need to be proven. Because of this, this work in its current form should be recognized as incorrect. The author is grateful to Professor L.G. Makar-Limanov, who drew attention to the lack of correct proof of formula (8) and Professor V.V. Bakhtin, who pointed to other inaccurate statements in this article.
About the authors
V. V Amel'kin
Belarusian State University, Minsk, 220030, Belarus
Author for correspondence.
Email: vamlkn@mail.ru