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On some Diophantine fourier series |
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| Authors: | Hai Long Li Jing Ma Wen Peng Zhang |
| Institution: | 1. Department of Mathematics, Weinan Teachers University, Weinan, 714000, P. R. China 2. Department of Mathematics, Jilin University, Changchun, 130012, P. R. China 3. Department of Mathematics, Northwest University, Xi’an, 710069, P. R. China |
| Abstract: | We continue our study on arithmetical Fourier series by considering two Fourier series which are related to Diophantine analysis. The first one was studied by Hardy and Littlewood in connection with the classification of numbers and the second one was studied by Hartman and Wintner by Lebesgue integration theory. |
| Keywords: | Diophantine Fourier series Diophantine Dirichlet series Riesz sum |
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