Work

Partitions in real quadratic fields

Year: 2024

Type: article

Abstract: 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 partition function, and characterize the quadratic fields such that there exists an element with exactly 1–5, 7, and 11 partitions.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.202300480

Authors: David Stern, Mikuláš Zindulka

Institution: Charles University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,300

Funders: Univerzita Karlova v Praze, Grantová Agentura České Republiky