Simpler congruences for Jacobi sum $J(1, 1)_{49}$ of order 49
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909850116554752 |
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| author | Ansari, Ishrat Jahan Jadhav, Vikas Shirolkar, Devendra |
| author_facet | Ansari, Ishrat Jahan Jadhav, Vikas Shirolkar, Devendra |
| contents | In this paper we determine the congruence of Jacobi sums $J(1, 1)_{49}$ of order 49 over a field $\mathbb{F}_p$. We also show that simpler congruences hold for $J(1, 1)_{49}$ in the case of artiad and hyperartiad primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13924 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simpler congruences for Jacobi sum $J(1, 1)_{49}$ of order 49 Ansari, Ishrat Jahan Jadhav, Vikas Shirolkar, Devendra Number Theory In this paper we determine the congruence of Jacobi sums $J(1, 1)_{49}$ of order 49 over a field $\mathbb{F}_p$. We also show that simpler congruences hold for $J(1, 1)_{49}$ in the case of artiad and hyperartiad primes. |
| title | Simpler congruences for Jacobi sum $J(1, 1)_{49}$ of order 49 |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.13924 |