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Partitions in real quadratic fields

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  • David Stern
  • Mikuláš Zindulka

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.

Suggested Citation

  • David Stern & Mikuláš Zindulka, 2025. "Partitions in real quadratic fields," Mathematische Nachrichten, Wiley Blackwell, vol. 298(2), pages 548-566, February.
    • Handle: RePEc:bla:mathna:v:298:y:2025:i:2:p:548-566
    DOI: 10.1002/mana.202300480
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