Polynomials on polydiscs

I will discuss some basic estimates for polynomials on polydiscs: The Bohnenblust--Hille inequality, Poisson integrals of square moduli of polynomials, and Helson's approach to weak factorization for certain homogeneous polynomials. I will show how this topic relates to Dirichlet polynomials and Dirichlet series, greatest common divisor sums, and Hankel forms.

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