Variations on the Brocard-Ramanujan equation

DOI10.1016/j.jnt.2012.09.005zbMath1334.11021OpenAlexW2055755867MaRDI QIDQ1938558

Andrzej Dąbrowski, Maciej Ulas

Publication date: 21 February 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.09.005

zbMATH Keywords

Diophantine equationfactorial functionBrocard-Ramanujan type equation

Mathematics Subject Classification ID

Representation problems (11D85)

Related Items (4)

On the finiteness of solutions for polynomial-factorial Diophantine equations ⋮ Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem ⋮ Arithmetic properties of the sequence of derangements ⋮ Unnamed Item

Uses Software

• Magma

Cites Work

• The Fibonacci version of the Brocard-Ramanujan Diophantine equation
• Variants of the Brocard-Ramanujan equation
• Finiteness theorems for abelian varieties over number fields.
• On the equation \(P(x)=n!\) and a question of Erdős
• Modular curves and the Eisenstein ideal
• The Magma algebra system. I: The user language
• On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\)
• On the Lebesgue–Nagell equation
• Rational Points in Arithmetic Progressions on y² = xⁿ + k
• SOME OBSERVATIONS ON THE DIOPHANTINE EQUATION y²=x!+A AND RELATED RESULTS
• On the Brocard–Ramanujan problem and generalizations
• The Diophantine Equation n ! + 1 = m²
• On factorials which are products of factorials
• On polynomial-factorial diophantine equations
• Unsolved problems in number theory
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• Unnamed Item

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