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 estima...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.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11301325 and 11071194)the First-class Discipline of Universities in Shanghai City
文摘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.
