The probability that ideals in a number ring are k-wise relatively r-prime

DOI10.1142/S1793042120500918zbMath1444.11194arXiv1803.09187MaRDI QIDQ4970751

Brian D. Sittinger, Ryan D. Demoss

Publication date: 7 October 2020

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

Full work available at URL: https://arxiv.org/abs/1803.09187

zbMATH Keywords

number fieldsalgebraic integersasymptotic density\(k\)-wise relatively \(r\)-prime

Mathematics Subject Classification ID

Density theorems (11R45) Distribution of integers with specified multiplicative constraints (11N25) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (1)

Divisibility properties of random samples of integers

Cites Work

• Counting \(r\)-tuples of positive integers with \(k\)-wise relatively prime components
• The probability that random algebraic integers are relatively \(r\)-prime
• The probability that \(k\) positive integers are relatively \(r\)-prime
• On the probability that \(k\) positive integers are relatively prime
• THE PROBABILITY THAT RANDOM POSITIVE INTEGERS ARE k-WISE RELATIVELY PRIME
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