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2017-03-07 Nonlinear Seminar

Michał Goliński
Formal power series (Part 1)

At the seminar we will discuss the following statement of M. Artin:
Let $$ f(x,y)=0 $$ be analytic equation ($$ f $$ is analytic). We will show that if the equation has a solution $$ y(x) $$ in the space of formal series than it has also analytic solution which differs from $$  y(x)  $$ coefficients with large powers.