Partitions in real quadratic fields

David Stern; Mikul\'a\v{s} Zindulka

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arxiv 2310.09980 v1 pith:ZNT2PFJK submitted 2023-10-15 math.NT

Partitions in real quadratic fields

David Stern , Mikul\'a\v{s} Zindulka This is my paper

classification math.NT

keywords partitionsfieldsquadraticrealalgorithmcharacterizecomputingdevelop

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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.

Partitions in real quadratic fields

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