Abstract
We show that, for any fixed ε > 0, there are asymptotically the same number of integers up to
x
, that are composed only of primes ⩽ y, in each arithmetic progression (mod
q
), provided that
y
⩾
q
1+e
and log
x
/log
q
→∞ as
y
→∞: this improves on previous estimates.
Subject
Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science
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