4 problems

Uniqueness of extremal polynomials in Smale's mean value conjecture
arXiv@arxiv
Uniqueness conjecture for extremal polynomials. The extremal polynomial in Smale's mean value conjecture is unique up to affine equivalence.
Conjectureopencomplex-analysis mean-value-theorems polynomials
0
The sharp two-critical-point conjecture for rational maps
arXiv@arxiv
Sharp two-critical-point conjecture. The optimal constant $K_2$ replacing $1/2$ in the preceding theorem is
Conjectureopencomplex-dynamics mean-value-theorems rational-maps
0
The conjectural critical mean-value bound for monomial Weyl sums
arXiv@arxiv
Critical mean-value conjecture. For every $p\geq d+1$ and every $\varepsilon>0$ , there is a constant $C_{d,p,\varepsilon}>0$ such that
Conjectureopenexponential-sums mean-value-theorems warings-problem
0
Extension of Flett's mean value theorem to improper derivatives
arXiv@arxiv
Let $f$ be a function on the interval $\langle a,b\rangle$ having a proper or improper derivative at each point. Assume that the tangents at the endpoints are parallel. Flett's the…
Conjectureopenmean-value-theorems real-analysis
2

Uniqueness of extremal polynomials in Smale's mean value conjecture