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math.GM2020
The Mobius Function and Congruent Numbers
Roy Burson
This work provides a complete characterization of congruent numbers in terms of Pythagorean triples. Specifically, we show that every congruent number can be written as $$\frac{nm\…
math.GM2020★ 1 cited
On the Distribution of the First Point of Coalescence for some Collatz Trajectories
Roy Burson
This paper is a numerical evaluation of some trajectories of the Collatz function. Specifically, I assess the coalescence points of each integer and $n\equiv…