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.
Publisher
Cambridge University Press (CUP)
Reference22 articles.
1. On the Diophantine equation $x^4-q^4=py^r$
2. On the integers represented by x4 − y4
3. Congruence Properties of Congruent Numbers
4. On the Diophantine equation x4 - q4 = py5;Savin;Ital. J. Pure Appl. Math.,2009
5. [14] Mulholland, J. , ‘Elliptic Curves with Rational 2-torsion and Related Ternary Diophantine Equations’, PhD Thesis, The University of British Columbia (Canada), 2006.