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math.NT2021
Semicomplete Arithmetic Sequences, Division of Hypercubes, and the Pell Constant
Zachary Hoelscher
In this paper we produce a few continuations of our previous work on partitions into fractions. Specifically, we study strictly increasing integer sequences such that the…
math.NT2020
Counting Restricted Partitions of Integers into Fractions: Symmetry and Modes of the Generating Function and a Connection to
Zachary Hoelscher, Eyvindur Ari Palsson
Motivated by the study of integer partitions, we consider partitions of integers into fractions of a particular form, namely with constant denominators and distinct odd or even num…