About the Diophantine Equation x^4 − q^4 = py^r

Diana Savin

Abstract


In this paper, we prove a theorem about the integer solutions to the Diophantine equation x^4 − q^4 = py^r , extending previous works of K. Gyory, and F. Luca and A. Togbé, and of the author.

Keywords


Diophantine equations, Kummer fields, cyclotomic fields

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