On new identities of Jacobi sums and related cyclotomic matrices

Published 24 Dec 2025 in math.NT | (2512.21177v1)

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.

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