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math.NT2023
Partitions in real quadratic fields
David Stern, Mikuláš Zindulka
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 pa…
math.NT2023★ 3 cited
Partitions into powers of an algebraic number
Vítězslav Kala, Mikuláš Zindulka
We study partitions of complex numbers as sums of non-negative powers of a fixed algebraic number . We prove that if is real quadratic, then the number of partitions is alwa…