Integers without divisors in a given progression |
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| Authors: | W?adys?aw Narkiewicz and Maciej Radziejewski |
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| Institution: | (1) Applied Mathematics Research Group, Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima 739-8527, Japan |
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| Abstract: | An asymptotic formula is given for the number of integers n ≤ x which do not have divisors in a fixed arithmetical progression. This extends a previous result of Banks et al. (Forum Math
20:1005–1037, 2008) who considered the case of progressions with prime difference. |
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