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20112026
most citedThe Asymptotic Fermat's Last Theorem for Five-Sixths of Real Quadratic Fields

41 citations · 104 across the 25 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.NT2013★ 6 cited

Elliptic Curves over Real Quadratic Fields are Modular

Nuno Freitas, Bao V. Le Hung, Samir Siksek

We prove that all elliptic curves defined over real quadratic fields are modular.

math.NT2013★ 3 cited

Criteria for irreducibility of mod p representations of Frey curves

Nuno Freitas, Samir Siksek

Let K be a totally real Galois number field and let A be a set of elliptic curves over K. We give sufficient conditions for the existence of a finite computable set of rational pri…

math.NT2013★ 41 cited

The Asymptotic Fermat's Last Theorem for Five-Sixths of Real Quadratic Fields

Nuno Freitas, Samir Siksek

Let be a totally real field. By the asymptotic Fermat's Last Theorem over we mean the statement that there is a constant such that for prime exponents the onl…