Mathematics of Computation

Author(s): I. Jiménez Calvo; J. Herranz; G. Sáez.
Journal: Math. Comp. 78 (2009), 2435-2444.
MSC (2000): Primary 11Y50, 65A05; Secondary 11D25, 14H52
Posted: February 13, 2009
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Abstract: In relation to Hall's conjecture, a new algorithm is presented to search for small nonzero $k=\lvert x^3-y^2\rvert$ values. Seventeen new values of $k<x^{1/2}$ are reported.

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Retrieve articles in Mathematics of Computation with MSC (2000): 11Y50, 65A05, 11D25, 14H52

I. Jiménez Calvo
Affiliation: C/Virgen de las Viñas 11, 28031-Madrid, Spain
Email: ijcalvo@gmail.com

J. Herranz
Affiliation: IIIA-CSIC, Campus de la UAB, E-08193 Bellaterra, Catalonia, Spain
Email: jherranz@iiia.csic.es

G. Sáez
Affiliation: Dept. de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya, c/Jordi Girona, 1-3, 08034-Barcelona, Spain
Email: german@ma4.upc.es

DOI: 10.1090/S0025-5718-09-02240-6
PII: S 0025-5718(09)02240-6
Keywords: Hall's conjecture, Mordell's equation
Received by editor(s): April 18, 2005
Received by editor(s) in revised form: November 11, 2008
Posted: February 13, 2009
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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