2019 On fractionally dense sets
Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar
Rocky Mountain J. Math. 49(3): 743-760 (2019). DOI: 10.1216/RMJ-2019-49-3-743

Abstract

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.

Citation

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Jaitra Chattopadhyay. Bidisha Roy. Subha Sarkar. "On fractionally dense sets." Rocky Mountain J. Math. 49 (3) 743 - 760, 2019. https://doi.org/10.1216/RMJ-2019-49-3-743

Information

Published: 2019
First available in Project Euclid: 23 July 2019

zbMATH: 07088334
MathSciNet: MR3983298
Digital Object Identifier: 10.1216/RMJ-2019-49-3-743

Subjects:
Primary: 11A41 , 11B05

Keywords: decimal expansions , dense sets , imaginary quadratic fields

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 3 • 2019
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