Mikuláš Zindulka

activity

20242026

collaborators

3 papers

math.NT2026

Negative bias in moments of the Legendre family of elliptic curves

Ben Kane, MikulÃ¡Å¡ Zindulka

We determine the bias in higher moments of the Legendre family of elliptic curves in view of the Negative Bias Conjecture of S. J. Miller. We show that every lower order term is ei…

math.NT2025

Totally positive elements with $m$ partitions exist in almost all real quadratic fields

MikulÃ¡Å¡ Zindulka

In this paper, we study partitions of totally positive integral elements $I^\pm$ in a real quadratic field $K$ . We prove that for a fixed integer $m \geq 1$ , an element with $m$ parti…

math.NT2024

Partitions into powers of an algebraic number

VÃtÄzslav Kala, MikulÃ¡Å¡ Zindulka

We study partitions of complex numbers as sums of non-negative powers of a fixed algebraic number $I^^{2}$ . We prove that if $I^^{2}$ is real quadratic, then the number of partitions is al…

Negative bias in moments of the Legendre family of elliptic curves

Totally positive elements with m partitions exist in almost all real quadratic fields

Partitions into powers of an algebraic number

Totally positive elements with $m$ partitions exist in almost all real quadratic fields