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arXiv · 2512.21177

On new identities of Jacobi sums and related cyclotomic matrices

Hai-Liang Wu·Hao Pan
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Abstract

In this paper, using some arithmetic properties of Jacobi sums, we investigate some products involving Jacobi sums and reveal the connections between these products and certain cyclotomic matrices. In particular, as an application of our main results, we confirm a conjecture posed by Z.-W. Sun in 2019, and obtain a stronger result.

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Hai-Liang Wu, Hao Pan. 2025-12-24. On new identities of Jacobi sums and related cyclotomic matrices. https://arxiv.org/abs/2512.21177

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