Diophantine approximation with products of two primes

作者:Irving A J*
来源:Journal of the London Mathematical Society-Second Series, 2014, 89(2): 581-602.
DOI:10.1112/jlms/jdt079

摘要

Let parallel to x parallel to denote the distance from x to the nearest integer. We show that for any irrational \alpha and for any tau < 8/23, there are infinitely many n which are the product of two primes for which parallel to n alpha parallel to <= n(-tau) We also show that for all sufficiently large b there exist 3-digit palindromes in base b with precisely two prime factors.

  • 出版日期2014-4