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September 2008 Sums of two squares and one biquadrate
Rainer Dietmann, Christian Elsholtz
Funct. Approx. Comment. Math. 38(2): 233-234 (September 2008). DOI: 10.7169/facm/1229696542

Abstract

There are no nontrivial integer solutions of $x^2+y^2+z^4=p^2$ for primes $p \equiv 7 \pmod 8$, even though there are no congruence obstructions.

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Rainer Dietmann. Christian Elsholtz. "Sums of two squares and one biquadrate." Funct. Approx. Comment. Math. 38 (2) 233 - 234, September 2008. https://doi.org/10.7169/facm/1229696542

Information

Published: September 2008
First available in Project Euclid: 19 December 2008

zbMATH: 1207.11046
MathSciNet: MR2492913
Digital Object Identifier: 10.7169/facm/1229696542

Subjects:
Primary: 11E25
Secondary: 11P05

Keywords: sums of squares , Waring's problem for mixed powers

Rights: Copyright © 2008 Adam Mickiewicz University

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Vol.38 • No. 2 • September 2008
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