Rational points on diagonal quartic surfaces

Elsenhans, Andreas-Stephan

doi:10.1090/S0025-5718-2011-02500-7

Rational points on diagonal quartic surfaces
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by Andreas-Stephan Elsenhans;

Math. Comp. 81 (2012), 481-492

DOI: https://doi.org/10.1090/S0025-5718-2011-02500-7

Published electronically: May 12, 2011

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Abstract:

We searched up to height $10^7$ for rational points on diagonal quartic surfaces. The computations fill several gaps in earlier lists computed by Pinch, Swinnerton-Dyer, and Bright.

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