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math.RA2025
Cyclotomic Matrices and Power Difference Sets
Wei-Liang Sun
The cyclotomic matrix is commonly used to arrange cyclotomic numbers in a convenient format. A natural question is whether the structure of the matrix can reflect properties of the…
math.RA2025
A Note on Idempotent Matrices: The Poset Structure and The Construction
Sen-Peng Eu, Yong-Siang Lin, Wei-Liang Sun
Idempotent elements play a fundamental role in ring theory, as they encode significant information about the underlying algebraic structure. In this paper, we study idempotent matr…
math.PR2025
Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension
Guolie Lan, Frédéric Ouimet, Wei Sun
This paper studies Gaussian product inequalities (GPIs) for centered Gaussian random vectors when positive and negative exponents appear simultaneously. We prove a quantitative low…