| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8896909 | Journal of Number Theory | 2018 | 25 Pages |
Abstract
We give an estimate for sums appearing in the Nyman-Beurling criterion for the Riemann Hypothesis containing the Möbius function. The estimate is remarkably sharp in comparison to estimates of other sums containing the Möbius function. The methods intensively use tools from the theory of continued fractions and from the theory of Fourier series.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Helmut Maier, Michael Th. Rassias,