Workshop· Trieste
Basic Notions Seminar - On a problem of Polya and some of its evolutions
Abstract: Around 1921 Polya asked about the algebraicity of the indefinite integral of an algebraic function, in terms of the integrality of the coefficients in a power-series expansion. Polya nicely answered the special case of rational functions, using Fermat's congruence. Though the formulation was very simple, the general case wa