3 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 partitions exist in almost all real quadratic fields
Mikuláš Zindulka
In this paper, we study partitions of totally positive integral elements in a real quadratic field . We prove that for a fixed integer , an element with 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…