On the cyclotomic field $\mathbb{Q}(e^{2\pi {\bf i}/p})$ and Zhi-Wei Sun's conjecture on $\det M_p$

Autor: Wang, Li-Yuan, Wu, Hai-Liang
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $\mathbb{F}_p$, we confirm this conjecture.
Databáze: arXiv