Coppersmith-Rivlin type inequalities and the order of vanishing of   polynomials at 1
  We examine the maximal number of zeros a polynomial of degree at most n with constrained coefficients may have at 1. Our results are essentially sharp and extend earlier results of this variety. An interesting connection to certain extensions of the Coppersmith-Rivlin inequality is explored. 
Tamas Erdelyi
math.NT