Sets of zero density containing integers with at most two prime factors

[摘要] Let t, r is an element of N, alpha is an element of R, with 2 less than or equal to t < r and 0.512 < alpha < 1. For t > r(alpha) and r > r(0)(alpha), we prove that there exists infinitely many integers with at most two prime factors and having no digit exceeding t - 1 in their base r expansion. When t = r - 1 this result holds whenever r greater than or equal to 5. (C) 2001 Elsevier Science.

[发布日期] 2001-12-01