On p-th cyclotomic field and Zhi-Wei Sun's Legendre determinants over 𝔽_p
arxiv（2024）
Abstract
In 2019, Zhi-Wei Sun posed an interesting conjecture on certain determinants
with Legendre symbol entries. In this paper, by using the arithmetic properties
of p-th cyclotomic field and the finite field 𝔽_p, we confirm this
conjecture.
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