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INTEGERS REPRESENTED BY $x^{4}-y^{4}$ REVISITED

Published online by Cambridge University Press:  20 May 2020

MICHAEL A. BENNETT*
Affiliation:
Department of Mathematics,University of British Columbia, Vancouver, BC, Canada V6T 1Z2 email bennett@math.ubc.ca

Abstract

We sharpen earlier work of Dabrowski on near-perfect power values of the quartic form $x^{4}-y^{4}$, through appeal to Frey curves of various signatures and related techniques.

Type
Research Article
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

The author was partially supported by a grant from NSERC.

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