Frobenius numbers associated with Diophantine triples of $x^2+3 y^2=z^3$

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发表日期：

2025年4月25日

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Takao Komatsu,
Tapas Chatterjee

摘要

We give an explicit formula for the p-Frobenius number of triples associated with Diophantine equations $x^2+3 y^2=z^3$ $x^{2} + 3 y^{2} = z^{3}$ , that is, the largest positive integer that can only be represented in at most p many ways by combining the three integers of the solutions of Diophantine equations $x^2+3 y^2=z^3$ $x^{2} + 3 y^{2} = z^{3}$ .

Frobenius numbers associated with Diophantine triples of \(x^2+3 y^2=z^3\)

摘要