Geodesic
Exponential sums involving the Möbius function
Xiaoguang He 1   ; Bingrong Huang 1
1 School of Mathematics Shandong University Jinan, Shandong 250100, China
Acta Arithmetica, Tome 175 (2016) no. 3, pp. 201-209 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $\mu (n)$ be the Möbius function, and $e(x)=e^{2\pi ix}$ with $x$ real. We estimate exponential sums involving the Möbius function $$ S_k(x,\alpha )= \sum _{n\leq x}\mu (n)e(n^k\alpha ) $$ under the weak Generalized Riemann Hypothesis when $k\geq 3$.
DOI : 10.4064/aa8130-5-2016
Keywords: bius function real estimate exponential sums involving bius function alpha sum leq k alpha under weak generalized riemann hypothesis geq

Xiaoguang He  1   ; Bingrong Huang  1

1 School of Mathematics Shandong University Jinan, Shandong 250100, China 
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Xiaoguang He; Bingrong Huang. Exponential sums involving the Möbius function. Acta Arithmetica, Tome 175 (2016) no. 3, pp. 201-209. doi: 10.4064/aa8130-5-2016

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