May 3, 2024Open Access

On a generalization of R. Chapman's "evil determinant"

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Abstract

Let p be an odd prime and x be an indeterminate. Recently, Z. -W. Sun proposed the following conjecture: + (j-ip) ₀ ₈, ₉ ₏-₁₂=cases (2p) pbₚx-aₚ & if\ p 14, 1 & if\ p 34, cases where aₚ and bₚ are rational numbers related to the fundamental unit and class number of the real quadratic field Q (p). In this paper, we confirm the above conjecture of Sun based on Vsemirnov's decomposition of Chapman's "evil determinant".

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Wang et al. (Fri,) studied this question.

synapsesocial.com/papers/68e6bbccb6db64358763c45e https://doi.org/https://doi.org/10.48550/arxiv.2405.02112

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