Some ternary Diophantine equations of signature (n, n, 2)-Reference-Cited by-同舟云学术

Some ternary Diophantine equations of signature (n, n, 2)

Published: Issue: Volume: Page:63-91
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Container-title:Discovering Mathematics with Magma
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Author:

Bruin Nils

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/978-3-540-37634-7_3.pdf

Reference26 articles.

1. 1. Michael A. Bennett, Chris M. Skinner, Ternary Diophantine equations via Galois representations and modular forms, Canad. J. Math. 56-1 (2004), 23–54.

2. 2. Wieb Bosma, John Cannon, Catherine Playoust, The Magma algebra system I: The user language, J. Symbolic Comput. 24 (1997), 235–265. See also the Magma home page at http://magma.maths.usyd.edu.au/magma/ .

3. 3. N. R. Bruin, Chabauty methods and covering techniques applied to generalized Fermat equations, Dissertation, University of Leiden, Leiden, 1999, CWI Tract 133, Amsterdam: Stichting Mathematisch Centrum Centrum voor Wiskunde en Informatica, 2002.

4. 4. Nils Bruin, Algae, a program for 2-Selmer groups of elliptic curves over number fields, see http://www.cecm.sfu.ca/~bruin/ell.shar

5. 5. Nils Bruin, The Diophantine equations x2 ± y4 = ±z6 and x2 + y8 = z3, Compositio Math. 118 (1999), 305–321.

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