Combinatorial Diophantine equations { the genus 1 case

• Autores: Tünde Kovács
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 72, Fasc. 1-2, 2008, págs. 243-255
• Idioma: inglés
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• Resumen

  • In this paper some Diophantine equations concerning binomial coe±cients, power sums and product of consecutive integers are solved. The equations are reduced to genus 1 equations or Mordell-type equations and solved with the so-called El- log method of Stroeker and Tzanakis and with the Magma computational algebra system.