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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Situations where the number of solutions to a linear Diophantine equation is always even

I have a number theory situation that I hope someone will recognize as a known situation and can direct me to some relevant papers in the literature. This came out of some numerical experiments run by …
James McLaughlin's user avatar