Products of disjoint blocks of integers being high powers

DOI10.1142/S1793042118501749zbMath1454.11007OpenAlexW2884532376MaRDI QIDQ4623464

Mariusz Skałba

Publication date: 15 February 2019

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

Full work available at URL: https://doi.org/10.1142/s1793042118501749

zbMATH Keywords

smooth numbersperfect powersDavenport's constant

Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Multiplicative and norm form equations (11D57)

Related Items (1)

Absolutely small solutions to a hyperelliptic congruence

Cites Work

• On products of disjoint blocks of consecutive integers
• The product of consecutive integers is never a power
• Products of disjoint blocks of consecutive integers which are powers
• Products of distinct integers being high powers
• On a question of Erdős and Graham

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