REFERENCES
- H. Cohen, Number Theory, Volume I: Tools and Diophantine Equations, Graduate Texts in Mathematics, Springer, New York, 2007.
- J. T. Cross, In the Gaussian integers α4 + β4 ≠ γ4, Math. Mag. 66 (1993) 105–108.
- D. Hilbert, Die Theorie der algebraischen Zahlkörper, Jahresber. Deutsch. Math.-Verein. 4 (1894/1895) 517–525.
- E. Lampakis, In Gaussian integers x3 + y3 = z3 has only trivial solutions—a new approach, Integers 8 (2008) A32.
- F. Najman, Torsion of elliptic curves over quadratic cyclotomic fields (to appear).
- D. Simon, Le fichier gp (2007), available at http://www.math.unicaen.fr/~simon/ell.gp.
- S. Szabó, The Diophantine equation x4 + y4 = z2 in ℚ(√-2) Indian J. Pure Appi. Math. 30 (1999) 857–861.
- S. Szabó, The Diophantine equation x4 y4 = z2 in three quadratic fields. Acta Math. Acad. Paedagog. Nyházi. (N.S.) 20 (2004) 1–10.
- S. Szabó, Some fourth degree diophantine equations in Gaussian integers. Integers 4 (2004) A16.
- T. Thongjunthug, Elliptic Curves Over ℚ(i), Honours thesis, University of New South Wales, Sydney, 2006.
- A. Wiles, Modular elliptic curves and Fermat's last theorem, Ann. of Math. (2) 141 (1995) 443–541. doi:10.2307/2118559
- K. Xu and H. Qin, Some Diophantine equations over ℤ[i] and ℤ[√—2] with applications to K2 of a field. Comm. Algebra 30 (2002) 353–367. doi:10.1081/AGB-120006496
- K. Xu and Y. Wang, Several Diophantine equations in some ring of integers of quadratic imaginary fields, Algebra Colloq. 14 (2007) 661–668.