Xue-Jun Guo

activity

20232026

collaborators

Showing 2025Show all

3 papers · 1 filter

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 $L$ -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…

math.NT2025

Central $L$ values of congruent number elliptic curves

Xuejun Guo, Dongxi Ye, Hongbo Yin

Let $E_{n}$ be the congruent number elliptic curve $y^{2} = x^{3} - n^{2} x$ , where $n$ is square-free and not divisible by primes $p \equiv 3 (mod 4)$ . In this paper, we prove that $L (E_{n}, 1)$ ca…

Integrality of a trigonometric determinant arising from a conjecture of Sun

Trigonometric Determinants via special values of Dirichlet L-Functions

Central L values of congruent number elliptic curves

Trigonometric Determinants via special values of Dirichlet $L$ -Functions

Central $L$ values of congruent number elliptic curves