1 citations · 2 across the 6 of their papers we have counts for
6 papers
Proof of the Sendov conjecture for polynomials of degree nine
Zaizhao Meng
In this paper, we prove the Sendov conjecture for polynomials of degree nine. We use a new idea to obtain new upper bound for the sum to zeros of the polynomial.
On the Sendov conjecture and the critical points of polynomials
Zaizhao Meng
In this paper, we obtain new results on the critical points of a polynomial. We discuss the Sendov conjecture for polynomials of degree nine.
The critical points of a polynomial
Zaizhao Meng
In this paper, we obtain new results on the critical points of a polynomial, these results are useful to the Sendov conjecture.
Inequalities for Continued Fractions, II
Zaizhao Meng
In this paper, we investigate the monotone property of the continued fractions as a function of and . In particular, we obtain new inequality for the relative conti…
A Note on the Linnik's constant
Zaizhao Meng
Let be the least prime in the arithmetic progression . In this note, when has bounded cubic part and , we combine the Heath-Brown's met…
On a variance for twins of free numbers in arithmetic progressions
Zaizhao Meng
In this paper, we give a new upper bound of Barban-Davenport-Halberstam type for twins of free numbers in arithmetic progressions.