Partitions in real quadratic fields

Published 15 Oct 2023 in math.NT | (2310.09980v1)

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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