TY - JOUR
T1 - A Hardy–Ramanujan-type inequality for shifted primes and sifted sets
AU - Ford, Kevin
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2021/7
Y1 - 2021/7
N2 - We establish an analog of the Hardy–Ramanujan inequality for counting members of sifted sets with a given number of distinct prime factors. In particular, we establish a bound for the number of shifted primes p + a below x with k distinct prime factors, uniformly for all positive integers k.
AB - We establish an analog of the Hardy–Ramanujan inequality for counting members of sifted sets with a given number of distinct prime factors. In particular, we establish a bound for the number of shifted primes p + a below x with k distinct prime factors, uniformly for all positive integers k.
KW - Hardy–Ramanujan inequality
KW - shifted primes
KW - sieves
UR - http://www.scopus.com/inward/record.url?scp=85109168500&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85109168500&partnerID=8YFLogxK
U2 - 10.1007/s10986-021-09523-y
DO - 10.1007/s10986-021-09523-y
M3 - Article
AN - SCOPUS:85109168500
SN - 0363-1672
VL - 61
SP - 323
EP - 329
JO - Lithuanian Mathematical Journal
JF - Lithuanian Mathematical Journal
IS - 3
ER -