A note on multiplicative functions on progressions to large moduli
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).
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| Médium: | Journal article |
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Cambridge University Press
2017
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