On Diophantine equations of the form \((x-a_1)(x-a_2)\cdots(x-a_k)+r=y^n\)

DOI10.1007/s12044-011-0030-yzbMath1276.11047OpenAlexW2032212287MaRDI QIDQ353998

Balasubramanian Sury, Manisha V. Kulkarni

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-011-0030-y

zbMATH Keywords

exponential Diophantine equationsErdős-Selfridge equationproduct of consecutive integers

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Cites Work

• On the equation \(f(x)=y^ m\) over finitely generated domains
• The product of consecutive integers is never a power
• The Diophantine equation x(x+1)...(x+(m-1)) + r= yⁿ

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