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math.NT2019
Cyclotomic Coincidences
Carl Pomerance, Simon Rubinstein-Salzedo
In this paper, we show that if and are distinct positive integers and is a nonzero real number with , then except when $\{m,n\}=\{2,6…
math.NT2019
Diophantine Tuples over
Nitya Mani, Simon Rubinstein-Salzedo
For an element of a ring , a Diophantine -tuple is an -tuple of elements of such that for all with , is a p…
math.NT2015
-Division Points of Hypocycloids
Nitya Mani, Simon Rubinstein-Salzedo
We show that the -division points of all rational hypocycloids are constructible with an unmarked straightedge and compass for all integers , given a pre-drawn hypocycloid. W…