3 papers
math.NT2020
Recurrence relations of Li coefficients
Huan Xiao
One of equivalents of the Riemann hypothesis is Li's criterion that all Li coefficients are positive. We study recurrence relations of Li coefficients in this note.
math.NT2020
Campana points on biequivariant compactifications of the Heisenberg group
Huan Xiao
We study Campana points on biequivariant compactifications of the Heisenberg group and confirm the log Manin conjecture introduced by Pieropan, Smeets, Tanimoto and Várilly-Alvarad…
math.GM2018
Roots of polynomials and the Sendov's conjecture
Huan Xiao
In this paper we first prove that a simple root of a polynomial satisfies the Sendov's conjecture. As the multiple roots trivially satisfy the Sendov's conjecture we conclude that…