Frobenius numbers associated with Diophantine triples of x2+y2=zr (extended version)
Abstract
We give an explicit formula for the p-Frobenius number of triples associated with Diophantine equations x2+y2=zr, that is, the largest positive integer that can only be represented in p ways by combining the three integers of the solutions of Diophantine equations x2+y2=zr. When r=2, the Frobenius number has already been given.
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