Journal article
A note on multiplicative functions on progressions to large moduli
- Abstract:
- Let f : N → C be a bounded multiplicative function. Let a be a fixed nonzero integer (say a = 1). Then f is well-distributed on the progression n ≡ a(mod q) ⊂ {1,...,X}, for almost all primes q ∈ [Q; 2Q], for Q as large as X1/2 + 1/78-o(1).
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
-
-
(Accepted manuscript, pdf, 365.6KB)
-
- Publisher copy:
- 10.1017/S0308210517000191
Authors
Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Proceedings of the Royal Society of Edinburgh Section A Mathematics Journal website
- Volume:
- 148
- Issue:
- 1
- Pages:
- 63-77
- Publication date:
- 2017-12-04
- Acceptance date:
- 2016-05-24
- DOI:
- EISSN:
-
1473-7124
- ISSN:
-
0308-2105
Item Description
- Pubs id:
-
pubs:623811
- UUID:
-
uuid:3b3e8f53-4674-42bb-bff2-66ba9bac3c24
- Local pid:
- pubs:623811
- Source identifiers:
-
623811
- Deposit date:
- 2016-05-25
Terms of use
- Copyright holder:
- oyal Society of Edinburgh
- Copyright date:
- 2017
- Notes:
- © Royal Society of Edinburgh 2018. This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at: http://dx.doi.org/10.1017/S0308210517000191
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