WITHDRAWN: A proof of the Krzyz conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909598594629632 |
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| author | Stupin, Denis |
| author_facet | Stupin, Denis |
| contents | WITHDRAWN: The proof contains an uncorrectable gap in the proof of theorem 7 on page 11.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 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | WITHDRAWN: A proof of the Krzyz conjecture Stupin, Denis Complex Variables 30C45, 30C50 WITHDRAWN: The proof contains an uncorrectable gap in the proof of theorem 7 on page 11.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 |
| title | WITHDRAWN: A proof of the Krzyz conjecture |
| topic | Complex Variables 30C45, 30C50 |
| url | https://arxiv.org/abs/2504.10223 |