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On Ternary Equations of Fermat Type and Relations with Elliptic Curves

In: Modular Forms and Fermat’s Last Theorem

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  • Gerhard Frey

Abstract

The main purpose of this chapter is to show how arithmetical properties of elliptic curves E defined over global fields K and corresponding Galois representations are often related to interesting diophantine questions, amongst which the most prominent is without doubt Fermat’s Last Theorem, which has now become Wiles’ theorem.

Suggested Citation

  • Gerhard Frey, 1997. "On Ternary Equations of Fermat Type and Relations with Elliptic Curves," Springer Books, in: Gary Cornell & Joseph H. Silverman & Glenn Stevens (ed.), Modular Forms and Fermat’s Last Theorem, pages 527-548, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-1974-3_20
    DOI: 10.1007/978-1-4612-1974-3_20
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