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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.05586 |
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| _version_ | 1866911962487586816 |
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| author | Ke, Wen-Fong Kiechle, Hubert |
| author_facet | Ke, Wen-Fong Kiechle, Hubert |
| contents | An explicit formula for the number of solutions of the equation in the title is given when a certain condition, depending only on the exponent and the characteristic of the field, holds. This formula improves the one given by the authors in an earlier paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_05586 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Circularity in Finite Fields and Solutions of the Equations $\boldsymbol{x^{m}+y^{m}-z^{m}=1}$ Ke, Wen-Fong Kiechle, Hubert Number Theory Combinatorics An explicit formula for the number of solutions of the equation in the title is given when a certain condition, depending only on the exponent and the characteristic of the field, holds. This formula improves the one given by the authors in an earlier paper. |
| title | Circularity in Finite Fields and Solutions of the Equations $\boldsymbol{x^{m}+y^{m}-z^{m}=1}$ |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2307.05586 |