Moments for primes in arithmetic progressions, I

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The second moment ∑q≤Qa=1q (ψ(x; q, a) - ρ (x; q, a))2 is investigated with the novel approximation ρ(x; q, a) = ∑n≤x n≡a (mod q) F R(n), where FR(n) = ∑r≤R μ(r)/φ(r) ∑b=1 (b,r)=1r e(bn/r), and it is shown that when R ≤ logA x, this leads to more precise conclusions than in the classical Montgomery-Hooley case.

Original languageEnglish (US)
Pages (from-to)371-383
Number of pages13
JournalDuke Mathematical Journal
Issue number2
StatePublished - Nov 1 2003

All Science Journal Classification (ASJC) codes

  • General Mathematics


Dive into the research topics of 'Moments for primes in arithmetic progressions, I'. Together they form a unique fingerprint.

Cite this