Mérai László: On the frequency of primes preserving dynamical irreducibility of polynomials

For a class of polynomials f with integer coefficients, which in particular includes all quadratic polynomials, and also trinomials of some special form, we show that, under some natural conditions (necessary for quadratic polynomials), the set of primes p such that all iterations of f are irreducible modulo p is of relative density zero.

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Meeting ID: 846 4655 7623
Passcode: 311119