A note on the zeroes of the Fredholm series
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866914742455500800 |
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| author | Zannier, Umberto Veneziano, Francesco |
| author_facet | Zannier, Umberto Veneziano, Francesco |
| contents | The issue had been raised whether the Fredholm series $z+z^2+...+z^{2^n}+...$ has infinitely many zeroes in the unit disk. We provide an affirmative answer, proving that in fact every complex number occurs as a value infinitely many times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_11922 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A note on the zeroes of the Fredholm series Zannier, Umberto Veneziano, Francesco Complex Variables Number Theory 30B10 The issue had been raised whether the Fredholm series $z+z^2+...+z^{2^n}+...$ has infinitely many zeroes in the unit disk. We provide an affirmative answer, proving that in fact every complex number occurs as a value infinitely many times. |
| title | A note on the zeroes of the Fredholm series |
| topic | Complex Variables Number Theory 30B10 |
| url | https://arxiv.org/abs/2006.11922 |