A note on multiplicative functions on progressions to large moduli
Published online by Cambridge University Press: 04 December 2017
Abstract
Let f : ℕ → ℂ be a bounded multiplicative function. Let a be a fixed non-zero 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).
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 148 , Issue 1 , February 2018 , pp. 63 - 77
- Copyright
- Copyright © Royal Society of Edinburgh 2018
- 5
- Cited by