The equations \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\) with \(m=3,4\)

DOI10.1016/0019-3577(91)90034-5zbMath0757.11010OpenAlexW1978430257MaRDI QIDQ1192456

N. Saradha, Tarlok N. Shorey

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0019-3577(91)90034-5

zbMATH Keywords

MATHEMATICAREDUCEproducts of consecutive integersequal productsmultiplicative diophantine equations

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Multiplicative and norm form equations (11D57)

Related Items

On the equation \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\), The equations \((x+1) \cdots (x+k) = (y+1) \cdots (y+m),\quad m=5,6\), On the equation \(x(x+d_ 1)\dots (x+(k-1)d_ 1)= y(y+d_ 2)\dots (y+(mk-1)d_ 2)\)

Uses Software

• Mathematica
• REDUCE

Cites Work

• On the ratio of two blocks of consecutive integers
• On the equation \((x+1)\dots(x+k)=(y+1)\dots(y+mk)\)
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