On the Diophantine equations \(\binom n2=cx^l\) and \(\binom n3=cx^l\).

DOI10.3836/tjm/1244208849zbMath1040.11016OpenAlexW2083063334MaRDI QIDQ1812479

Nobuhiro Terai

Publication date: 19 February 2004

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208849

zbMATH Keywords

elliptic curvesThue equations

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Exponential Diophantine equations (11D61)

Uses Software

• KANT/KASH
• SIMATH

Cites Work

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• On a diophantine equation of Erdős
• KANT V4
• Rational approximation to algebraic numbers of small height: the Diophantine equation |axn - byn|= 1
• On the equation $a^p + 2^α b^p + c^p = 0$
• On the diophantine equation ${n \choose k} = x^l$
• On the Diophantine equation |𝑎𝑥ⁿ-𝑏𝑦ⁿ|=1
• On the diophantine equation $n(n+1)...(n+k-1) = bx^l$
• A note on the equation $ax^n - by^n = c$
• Catalan's Conjecture
• Note on the Product of Consecutive Integers (II)
• On a Diophantine Equation

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