Open Access
September 2005 Modular congruences, Q-curves, and the diophantine equation $x^4 + y^4 = z^p $
Luis V. Dieulefait
Bull. Belg. Math. Soc. Simon Stevin 12(3): 363-369 (September 2005). DOI: 10.36045/bbms/1126195341

Abstract

We prove two results concerning the generalized Fermat equation $x^4 + y^4 = z^p$. In particular we prove that the First Case is true if $p \neq 7$

Citation

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Luis V. Dieulefait. "Modular congruences, Q-curves, and the diophantine equation $x^4 + y^4 = z^p $." Bull. Belg. Math. Soc. Simon Stevin 12 (3) 363 - 369, September 2005. https://doi.org/10.36045/bbms/1126195341

Information

Published: September 2005
First available in Project Euclid: 8 September 2005

zbMATH: 1168.11010
MathSciNet: MR2173699
Digital Object Identifier: 10.36045/bbms/1126195341

Subjects:
Primary: 11D41 , 11F11

Keywords: Diophantine equations , Elliptic curves , modular forms

Rights: Copyright © 2005 The Belgian Mathematical Society

Vol.12 • No. 3 • September 2005
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