Nonlinear exponential twists of the Liouville function
Qingfeng Sun
Open Mathematics, Tome 9 (2011), p. 328-337 / Harvested from The Polish Digital Mathematics Library
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Let λ(n) be the Liouville function. We find a nontrivial upper bound for the sum ∑X⩽n⩽2Xλ(n)e2πiαn,0≠α∈ℝ The main tool we use is Vaughan’s identity for λ(n).

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:269447 
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     author = {Qingfeng Sun},
     title = {Nonlinear exponential twists of the Liouville function},
     journal = {Open Mathematics},
     volume = {9},
     year = {2011},
     pages = {328-337},
     zbl = {1276.11138},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0092-6}
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Qingfeng Sun. Nonlinear exponential twists of the Liouville function. Open Mathematics, Tome 9 (2011) pp. 328-337. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0092-6/

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