On the equation \(P(x)=n!\) and a question of Erdős

DOI10.1016/0022-314X(92)90020-PzbMath0762.11010MaRDI QIDQ1198934

Daniel Berend, Charles F. Osgood

Publication date: 16 January 1993

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

zbMATH Keywords

\(G\)-functionsdiophantine equationsinteger solutiondensity zeropolynomial of higher degree

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41)

Related Items (9)

On the finiteness of solutions for polynomial-factorial Diophantine equations ⋮ Existence of the solutions to the Brocard–Ramanujan problem for norm forms ⋮ Variations on the Brocard-Ramanujan equation ⋮ Power savings for counting solutions to polynomial-factorial equations ⋮ Polynomials with roots modulo every integer ⋮ On polynomial-factorial diophantine equations ⋮ On factorials which are products of factorials ⋮ Variants of the Brocard-Ramanujan equation ⋮ Gaps between consecutive divisors of factorials

Cites Work

• Thue-Siegel-Roth theorem for values of algebraic functions
• Product type bounds on the approximation of values of E- and G-functions
• Unsolved problems in number theory

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