4 papers
Inequalities for related to a conjecture of Henry
Liwen Gao, Xuejun Guo
In this paper we investigate analytic inequalities related to a conjecture of Henry involving the difference between the Riemann zeta function and the digamma function. By treating…
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…
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…
Central values of congruent number elliptic curves
Xuejun Guo, Dongxi Ye, Hongbo Yin
Let be the congruent number elliptic curve , where is square-free and not divisible by primes . In this paper, we prove that ca…