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math.NT2022
The Density of Elliptic Dedekind Sums
Nicolas Berkopec, Jacob Branch, Rachel Heikkinen +2
Elliptic Dedekind sums were introduced by R. Sczech as generalizations of classical Dedekind sums to complex lattices. We show that for any lattice with real -invariant, the val…
math.CO2022
The Three Gap Theorem and Periodic Functions
A. Suki Dasher, A. Hermida, Tian An Wong
The Three Gap Theorem, also known as the Steinhaus Conjecture, is a classical result on the combinatorics of the fractional part function, and has since been generalized in many wa…