Partitions in real quadratic fields
Number Theory
2023-10-17 v1
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.
Cite
@article{arxiv.2310.09980,
title = {Partitions in real quadratic fields},
author = {David Stern and Mikuláš Zindulka},
journal= {arXiv preprint arXiv:2310.09980},
year = {2023}
}
Comments
16 pages, comments are welcome!