3 citations · 3 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
Lower bound estimates for the rank of universal quadratic forms in some families of real cubic fields with density one
Liwen Gao, Xuejun Guo
In this paper, we establish the explicit lower bound estimates for the rank of universal quadratic forms in some certain families of real cubic fields under the condition of densit…