Partitions in real quadratic fields

2023/10/15 by David Stern, Stern, David, Mikuláš Zindulka +1
Mathematics · #11P81 #11R11 #11R80 #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2310.09980

openalex publication_date 2023/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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