Quadratic Diophantine equations. With a foreword by Preda Mihăilescu

DOI10.1007/978-0-387-54109-9zbMath1376.11001OpenAlexW1210069085MaRDI QIDQ935684

Titu Andreescu, Dorin Andrica

Publication date: 7 August 2008

Published in: Developments in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-54109-9

zbMATH Keywords

elliptic curveMordell-Weil groupquadratic Diophantine equationPell equationFibonacci sequencecontinued fractionEuler numbersLucas sequenceFrey curvesDiophantine analysispolygonal numbertriangular numberHilbert's tenth problemHecke groupnegative Pell equationArchimedes' cattle problemEuler's concordant formgeneral Pell equationquadratic ringThue's theorem

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Continued fractions and generalizations (11J70)

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