The Diophantine equation x(x+1)...(x+(m-1)) + r= yn

DOI10.4064/aa113-4-1zbMath1053.11029OpenAlexW2095173236MaRDI QIDQ4811256

Yuri F. Bilu, Manisha V. Kulkarni, Balasubramanian Sury

Publication date: 18 August 2004

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/aa/Inf/113-4-1.html

zbMATH Keywords

exponential Diophantine equationproduct of consecutive integers

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (10)

Polynomial values of sums of hyperbolic binomial coefficients ⋮ The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations ⋮ On Diophantine equations of the form \((x-a_1)(x-a_2)\cdots(x-a_k)+r=y^n\) ⋮ Polynomial values of figurate numbers ⋮ The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots ⋮ On the Diophantine equation \(x(x + 1)(x + 2)\dots (x + (m - 1)) =g(y)\) ⋮ Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture ⋮ Polynomial values of products of terms from an arithmetic progression ⋮ A class of Diophantine equations involving Bernoulli polynomials ⋮ On special extrema of polynomials with applications to Diophantine problems

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