3 papers
math.CV2024
Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate
Manli Liu, Guokuan Shao, Wenxuan Wang
In this paper, we establish strong holomorphic Morse inequalities on non-compact manifolds under the condition of optimal fundamental estimates. We show that optimal fundamental es…
math.CV2022
On equidistribution theorem for multi-sequences of holomorphic line bundles
Manli Liu, Weixiong Mai, Guokuan Shao
Given several sequences of Hermitian holomorphic line bundles , we establish the distribution of common zeros of random holomorphic sections of…
math.CV2020
On algebraic differential equations concerning the Riemann-zeta function and the Euler-gamma function
Qiongyan Wang, Manli Liu, Nan Li
In this paper, we prove that is not a solution of any non-trivial algebraic differential equation whose coefficients are polynomials in over the ring of p…