Extensions of the BlochPlya theorem on the number of real zeros of polynomials Academic Article uri icon


  • Universit Bordeaux 1, 2008, tous droits rservs. We prove that there are absolute constants c1 > 0 and c2 > 0 such that for every (Formula Presented.), there are b0,b1,&,bn {-1,0,1} such that (Formula Presented.) has at least c2n1/4 distinct sign changes in (0, 1). This improves and extends earlier results of Bloch and Plya.

published proceedings

  • Journal de Thorie des Nombres de Bordeaux

author list (cited authors)

  • Erdlyi, T.

citation count

  • 9

complete list of authors

  • Erdélyi, Tamás

publication date

  • January 2008