6 citations · 6 across the 4 of their papers we have counts for
4 papers
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.
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…
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…
On the Lehmer's problem involving Euler's totient function
Huan Xiao
The Euler's totient function counts the positive integers up to a given integer that are relatively prime to . We solve a problem due to Lehmer that there is no…