File Download
Supplementary
-
Citations:
- Appears in Collections:
Conference Paper: On some mean values for the divisor function and the Riemann zeta-function
| Title | On some mean values for the divisor function and the Riemann zeta-function |
|---|---|
| Authors | |
| Issue Date | 2017 |
| Publisher | Steklov Mathematical Institute of Russian Academy of Sciences. |
| Citation | A.A. Karatsuba's 80th Birthday Conference in Number Theory and Applications, Moscow, Russia, 22-27 May 2017 How to Cite? |
| Abstract | Let Δ(x) and E(x) denote respectively the error terms in the summatory formula for the divisor function and the mean square formula for ζ(s) on the critical line. In this talk we shall discuss some general mean values for Δ(x) and E(x). From these mean value results, we observe intrinsic difference between these two functions, which suggests that E(x) is more negative then Δ(x). |
| Persistent Identifier | http://hdl.handle.net/10722/252373 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Tsang, KM | - |
| dc.date.accessioned | 2018-04-19T03:28:26Z | - |
| dc.date.available | 2018-04-19T03:28:26Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | A.A. Karatsuba's 80th Birthday Conference in Number Theory and Applications, Moscow, Russia, 22-27 May 2017 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/252373 | - |
| dc.description.abstract | Let Δ(x) and E(x) denote respectively the error terms in the summatory formula for the divisor function and the mean square formula for ζ(s) on the critical line. In this talk we shall discuss some general mean values for Δ(x) and E(x). From these mean value results, we observe intrinsic difference between these two functions, which suggests that E(x) is more negative then Δ(x). | - |
| dc.language | eng | - |
| dc.publisher | Steklov Mathematical Institute of Russian Academy of Sciences. | - |
| dc.relation.ispartof | A.A. Karatsuba's 80th Birthday Conference in Number Theory and Applications | - |
| dc.title | On some mean values for the divisor function and the Riemann zeta-function | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Tsang, KM: kmtsang@hkucc.hku.hk | - |
| dc.identifier.authority | Tsang, KM=rp00793 | - |
| dc.description.nature | link_to_OA_fulltext | - |
| dc.identifier.hkuros | 278423 | - |
| dc.publisher.place | Russia | - |