The equations \((x+1) \cdots (x+k) = (y+1) \cdots (y+m),\quad m=5,6\)

DOI10.1016/0019-3577(96)85091-9zbMath0867.11019OpenAlexW2053571449MaRDI QIDQ1815087

Tarlok N. Shorey, Maurice Mignotte

Publication date: 9 December 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(96)85091-9

zbMATH Keywords

upper boundsexponential equations

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

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The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots

Cites Work

• On the ratio of two blocks of consecutive integers
• On the equation \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\)
• The equations \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\) with \(m=3,4\)
• On the equation \(f(x+1)\dots f(x+k)= f(y+1)\dots f(y+mk)\)