Solving diophantine equations x^4 + y^4 = q z^p

Details Solving diophantine equations x^4 + y^4 = q z^p Solving diophantine equations x^4 + y^4 = q z^p

2003-04-27

arxiv.org/abs/math/0304430v1

Mathematics

Number Theory

Scientific paper

We give a method to solve generalized Fermat equations of type $x^4 + y^4 = q
z^p$, for some prime values of $q$ and every prime $p$ bigger than 13. We
illustrate the method by proving that there are no solutions for $q= 73, 89$
and 113.

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