Squares and factorials in products of factorials

DOI10.1007/s00605-014-0641-3zbMath1373.11029OpenAlexW2000376795MaRDI QIDQ471130

N. Saradha, Florian Luca, Tarlok N. Shorey

Publication date: 14 November 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0641-3

zbMATH Keywords

squaresapplications of sieve methodsconsequences of the abc conjecturefactorials

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Applications of sieve methods (11N36) Diophantine equations in many variables (11D72)

Related Items (4)

Power savings for counting solutions to polynomial-factorial equations ⋮ On the equation \(A!B!=C!\) ⋮ Lower bounds for the greatest prime factor of product of consecutive positive integers ⋮ Products of factorials which are powers

Cites Work

• On a problem of Oppenheim concerning Factorisatio Numerorum
• The product of consecutive integers is never a power
• Approximate formulas for some functions of prime numbers
• The Difference Between Consecutive Primes, II
• Baker's explicit abc-conjecture and applications
• On factorials which are products of factorials
• On gaps between numbers with a large prime factor. II
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