Rocky Mountain Journal of Mathematics

On fractionally dense sets

Jaitra Chattopadhyay, Bidisha Roy, and Subha Sarkar

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In this article, we prove that some subsets of the set of natural numbers $\mathbb {N}$ and any non-zero ideals of an order of an imaginary quadratic field are fractionally dense in $\mathbb {R}_{>0}$ and $\mathbb {C}$, respectively.

Article information

Rocky Mountain J. Math., Volume 49, Number 3 (2019), 743-760.

First available in Project Euclid: 23 July 2019

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11A41: Primes 11B05: Density, gaps, topology

Imaginary quadratic fields decimal expansions dense sets


Chattopadhyay, Jaitra; Roy, Bidisha; Sarkar, Subha. On fractionally dense sets. Rocky Mountain J. Math. 49 (2019), no. 3, 743--760. doi:10.1216/RMJ-2019-49-3-743.

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