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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


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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Document Date: 2006-06-26 05:45:45


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City

Nottingham / /

Company

Princeton University Press / Cambridge University Press / J. Symbolic Comp / /

Country

United Kingdom / /

Currency

pence / /

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Facility

University Park / College of Science / Sultan Qaboos University / University of Nottingham / /

IndustryTerm

putative solution / /

Organization

Princeton University / Cambridge University / College of Science / School of Mathematical Sciences / University of Nottingham / Department of Mathematics and Statistics / Sultan Qaboos University / /

Person

JOHN E. CREMONA / /

Position

first author / conductor / /

PublishedMedium

the Canadian Journal / Journal of Number Theory / /

URL

http /

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