Partitions in real quadratic fields

David Stern and Mikuláš Zindulka

Mathematische Nachrichten, 2025, vol. 298, issue 2, 548-566

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.

Date: 2025
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https://doi.org/10.1002/mana.202300480

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