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Nonlinear exponential twists of the Liouville function

Qingfeng Sun (2011)

Open Mathematics

Let λ(n) be the Liouville function. We find a nontrivial upper bound for the sum X n 2 X λ ( n ) e 2 π i α n , 0 α The main tool we use is Vaughan’s identity for λ(n).

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