Loading...
Please wait, while we are loading the content...
Similar Documents
Linnik's large sieve and the $L^{1}$ norm of exponential sums.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Eckels, Emily Jin, Steven W. Ledoan, Andrew Tobin, Brian |
| Copyright Year | 2019 |
| Abstract | The method of proof of Balog and Ruzsa and the large sieve of Linnik are used to investigate the behaviour of the $L^{1}$ norm of a wide class of exponential sums over the square-free integers and the primes. Further, a new proof of the lower bound due to Vaughan for the $L^{1}$ norm of an exponential sum with the von Mangoldt $\Lambda$ function over the primes is furnished. Ramanujan's sum arises naturally in the proof, which also employs Linnik's large sieve. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1908.06946v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
