Marc Technau

activity

20192026

collaborators

3 papers

math.CV2026

Shapiro's problem on polynomials with large partial sums of coefficients

Marc Technau

Given a polynomial $\sum_{ν} a_{ν} X^{ν}$ of degree $< d$ , bounded by one on the unit disk, how large can $∣ a_{0} + a_{1} + \dots + a_{n} ∣$ ( $n < d$ ) get? This question dates back at least t…

math.NT2024

Zero sums amongst roots and Cilleruelo's conjecture on the LCM of polynomial sequences

Marc Technau

We make progress on a conjecture of Cilleruelo on the growth of the least common multiple of consecutive values of an irreducible polynomial $f$ on the additional hypothesis that t…

math.NT2019

On the distribution of $α p$ modulo one in imaginary quadratic number fields with class number one

Stephan Baier, Marc Technau

We investigate the distribution of $α p$ modulo one in imaginary quadratic number fields $K \subset C$ with class number one, where $p$ is restricted to prime elemen…

Shapiro's problem on polynomials with large partial sums of coefficients

Zero sums amongst roots and Cilleruelo's conjecture on the LCM of polynomial sequences

On the distribution of αp modulo one in imaginary quadratic number fields with class number one

On the distribution of $α p$ modulo one in imaginary quadratic number fields with class number one