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math.NT2025
Integrality of a trigonometric determinant arising from a conjecture of Sun
Liwen Gao, Xuejun Guo
In this paper we resolve a conjecture of Zhi-Wei Sun concerning the integrality and arithmetic structure of certain trigonometric determinants. Our approach builds on techniques de…
math.NT2025
Trigonometric Determinants via special values of Dirichlet -Functions
Liwen Gao, Xuejun Guo
In this paper, we investigate the determinants involving some trigonometric functions. We establish a connection between these determinants and the special values of Dirichlet L-fu…
quant-ph2025★ 3 cited
Generation of optomicrowave and optomagnonic entanglements in cascaded optomagnomechanical systems
Chong Zhang, Xiaomin Liu, Liwen Gao +3
The optomagnomechanical system, which involves flexible nonlinearities, is one of the promising physical platforms for studying the preparation and manipulation of quantum entangle…