Jacobi sums of order $2l^2$

Md. Helal Ahmed; Jagmohan Tanti

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arXiv · 1807.06218

Jacobi sums of order $2l^2$

Md. Helal Ahmed·Jagmohan Tanti

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Abstract

The aim of this paper is to deal with congruences for Jacobi sums of order $2l^{2}$ over a finite field $\mathbb{F}_{q}, q=p^{r}$, $p^{r}\equiv 1\ (mod \ 2l^{2})$, where $l>3$ and $p$ are primes. Further, we also calculate Jacobi sums $J_{2l^{2}}(1,n)$ of order $2l^{2}$ in terms of Dickson-Hurwitz sums.

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Md. Helal Ahmed, Jagmohan Tanti. 2018-07-17. Jacobi sums of order $2l^2$. https://arxiv.org/abs/1807.06218

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