On products of consecutive integers

DOI10.3792/pjaa.66.305zbMath0755.11011OpenAlexW2085680964MaRDI QIDQ5905414

Shin-ichi Katayama

Publication date: 26 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.305

zbMATH Keywords

algorithminteger solutionsproducts of consecutive integers

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25)

Related Items

On the Diophantine equation \((x^ k-1)(y^ k-1)=(z^ k-1)\). ⋮ Products of consecutive integers and the Markoff equation ⋮ Rational points on \(K3\) surfaces in \(\mathbb{P}^ 1\times\mathbb{P}^ 1\times\mathbb{P}^ 1\) ⋮ On the diophantine equation \(x(x+ 1)= y(y+ 1)z^ 2\) ⋮ On products of consecutive arithmetic progressions ⋮ On the Diophantine equation $f(x)f(y)=f(z)^n$ involving Laurent polynomials, II ⋮ Explicit complete solution in integers of a class of equations \((ax^ 2- b)(ay^ 2-b)=z^ 2-c\)

Cites Work

• On the diophantine equation \(x(x+ 1)= y(y+ 1)z^ 2\)
• On the integer solutions of \(y(y+1) = x(x+1) (x+2)\)
• Note on Products of Consecutive Integers
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