On Euler's totient function of polynomials over finite fields
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916746962665472 |
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| author | Li, Xiumei Sha, Min |
| author_facet | Li, Xiumei Sha, Min |
| contents | In this paper, we study some typical arithmetic properties of Euler's totient function of polynomials over finite fields. Especially, we study polynomial analogues of some classical conjectures about Euler's totient function, such as Carmichael's conjecture, Sierpiński's conjecture, and Erdös' conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17727 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Euler's totient function of polynomials over finite fields Li, Xiumei Sha, Min Number Theory In this paper, we study some typical arithmetic properties of Euler's totient function of polynomials over finite fields. Especially, we study polynomial analogues of some classical conjectures about Euler's totient function, such as Carmichael's conjecture, Sierpiński's conjecture, and Erdös' conjecture. |
| title | On Euler's totient function of polynomials over finite fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2401.17727 |