Abstract
The purpose of this paper is to study the distribution of integers with a given number prime divisors over arithmetic progressions, via using the large-sieve inequality, Huxley-Hooley contour and the zero-density estimate, and present a Barban-Davenport-Halberstam type theorem for it.
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Yao, W. A Barban-Davenport-Halberstam theorem for integers with fixed number of prime divisors. Sci. China Math. 57, 2103–2110 (2014). https://doi.org/10.1007/s11425-013-4748-0
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DOI: https://doi.org/10.1007/s11425-013-4748-0