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On Euler's function

Part of: Sequences and sets Exponential sums and character sums

Published online by Cambridge University Press:  19 April 2016

H.-Q. Liu
H.-Q. Liu*
Affiliation:
Department of Mathematics, Harbin Normal University, Harbin 150025, People's Republic of China
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Extract

By giving some new treatments we can improve a classical result of Walfisz (1963) on the asymptotic formula of Euler's function.

Keywords

Euler functionexponential sumsVinogradov's method

MSC classification

Secondary: 11L07: Estimates on exponential sums 11B83: Special sequences and polynomials
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 4 , August 2016 , pp. 769 - 775
Copyright
Copyright © Royal Society of Edinburgh 2016 

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