Resumen de Combinatorial Diophantine equations { the genus 1 case

Tünde Kovács

• 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.