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Group theory / Elliptic curves / Analytic number theory / Prime number / Diophantine equations / Euclidean algorithm / Counting points on elliptic curves / Mathematics / Abstract algebra / Number theory
Date: 2006-06-26 05:45:45
Group theory
Elliptic curves
Analytic number theory
Prime number
Diophantine equations
Euclidean algorithm
Counting points on elliptic curves
Mathematics
Abstract algebra
Number theory

ON THE DIOPHANTINE EQUATION x2 + 7 = y m SAMIR SIKSEK AND JOHN E. CREMONA Abstract. In this paper we study the equation x2 +7 = y m , in integers x, y, m with m ≥ 3, using a Frey curve and Ribet’s level lowering theo

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