polynomial bracket norm

The Bombieri p-norm of a polynomial Q(x) = sum_(i = 0)^n a_i x^i is defined by [Q]_p congruent [ sum_(i = 0)^n (n i)^(1 - p) ( left bracketing bar a_i right bracketing bar )^p]^(1/p), where (n i) is a binomial coefficient.

Bombieri's inequality | norm | polynomial norm

Enrico Bombieri