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math.RA2019
Gaussian Integers, Rings, Finite Fields, and the Magic Square of Squares
Onno Cain
We show the 3 by 3 magic square of squares problem equivalent to solving quartic polynomials with certain factorization constraints over an abelian extension of the rationals. We a…
math.RA2019
Bioperational Multisets in Various Semi-rings
Onno M. Cain
One can find lists of whole numbers having equal sum and product. We call such a creature a bioperational multiset. No one seems to have seriously studied them in areas outside who…