54 citations · 105 across the 27 of their papers we have counts for
7 papers · 1 filter
The Bloch constant is strictly smaller than the Ahlfors--Grunsky value
Teng Zhang
We prove that the classical Bloch constant is strictly smaller than the Ahlfors--Grunsky value, disproving the famous Bloch constant conjecture. The Lean 4 formalization of the mai…
Borcea's 2-variance conjecture
Teng Zhang
In this paper, we prove Borcea's 2-variance conjecture. The Lean 4 formalization of the main results are also provided.
Baernstein's quasi-norm monotonicity conjecture for polynomials with unimodular zero
Teng Zhang
Let denote the normalized Haar measure on the unit circle . For , define …
Holomorphic curves of finite lower order with few inflection points
Alexandre Eremenko, Teng Zhang
We prove a conjecture proposed by the first-named author in 1998. Let be a transcendental linearly non-degenerate holomorphic curve of finite low…
A counterexample to Fuchs's conjecture
Alexandre Eremenko, Teng Zhang
For every in (0, 1/2), we construct an entire function F of order whose logarithmic derivative has zero as a deficient value. This disproves an old conjecture of W. H. J. F…
Sendov's conjecture holds for every degree
Teng Zhang
Sendov's conjecture, first formulated in 1958, asserts that if a complex polynomial of degree has all its zeros in the closed unit disk ${z \in \mathbb{C} : |z| \leq…
Angle duality and a gap principle for convex combinations of incomplete polynomials on the unit circle
Teng Zhang
In this paper, we establish an angle duality and a gap principle for convex combinations of incomplete polynomials, extending two results of Ge and Gonek in [IMRN, 2024].Our approa…