David Hokken

activity

20232026

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math.NT2023

Irreducibility of Littlewood polynomials of special degrees

Lior Bary-Soroker, David Hokken, Gady Kozma +1

Let $f$ be sampled uniformly at random from the set of degree $n$ polynomials whose coefficients lie in ${\pm 1}$ . A folklore conjecture, known to hold under GRH, states that th…

math.NT2023

Counting (skew-)reciprocal Littlewood polynomials with square discriminant

David Hokken

A Littlewood polynomial is a single-variable polynomial all of whose coefficients lie in ${\pm 1}$ . We establish the leading term asymptotics of the number of reciprocal or skew…