Arithmetic-geometric mean sequences over finite fields $\mathbb{F}_q$, where $q\equiv5\pmod{8}$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929656922374144 |
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| author | Bátorová, Natália Gajović, Stevan |
| author_facet | Bátorová, Natália Gajović, Stevan |
| contents | Arithmetic-geometric mean sequences were already studied over real and complex numbers, and recently, Michael J. Griffin, Ken Ono, Neelam Saikia and Wei-Lun Tsai considered them over finite fields $\mathbb{F}_q$ such that $q \equiv 3 \pmod 4$. In this paper, we extend the definition of arithmetic-geometric mean sequences over $\mathbb{F}_q$ such that $q \equiv 5 \pmod 8$. We explain the connection of these sequences with graphs and show the properties of the corresponding graphs in the case $q \equiv 5 \pmod 8$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00577 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arithmetic-geometric mean sequences over finite fields $\mathbb{F}_q$, where $q\equiv5\pmod{8}$ Bátorová, Natália Gajović, Stevan Number Theory Arithmetic-geometric mean sequences were already studied over real and complex numbers, and recently, Michael J. Griffin, Ken Ono, Neelam Saikia and Wei-Lun Tsai considered them over finite fields $\mathbb{F}_q$ such that $q \equiv 3 \pmod 4$. In this paper, we extend the definition of arithmetic-geometric mean sequences over $\mathbb{F}_q$ such that $q \equiv 5 \pmod 8$. We explain the connection of these sequences with graphs and show the properties of the corresponding graphs in the case $q \equiv 5 \pmod 8$. |
| title | Arithmetic-geometric mean sequences over finite fields $\mathbb{F}_q$, where $q\equiv5\pmod{8}$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2501.00577 |