Mikuláš Zindulka

activity

20202026

most citedPartitions into powers of an algebraic number

3 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2026

Negative bias in moments of the Legendre family of elliptic curves

Ben Kane, Mikuláš 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.NT2024

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

Mikuláš Zindulka

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

math.NT2023

Partitions in real quadratic fields

David Stern, Mikuláš Zindulka

We study partitions of totally positive integers in real quadratic fields. We develop an algorithm for computing the number of partitions, prove a result about the parity of the pa…

math.NT2023★ 3 cited

Partitions into powers of an algebraic number

Vítězslav Kala, Mikuláš Zindulka

We study partitions of complex numbers as sums of non-negative powers of a fixed algebraic number $β$ . We prove that if $β$ is real quadratic, then the number of partitions is alwa…

math.NT2020

Artin Twin Primes

Magdaléna Tinková, Ezra Waxman, Mikuláš Zindulka

We say that a prime number $p$ is an $Artin prime$ for $g$ if $g$ mod $p$ generates the group $(Z / p Z)^{\times}$ . For appropriately chosen integers $d$ an…