Explicit formulas of a generalized Ramanujan sum (Q2789371)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Explicit formulas of a generalized Ramanujan sum |
scientific article; zbMATH DE number 6547337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit formulas of a generalized Ramanujan sum |
scientific article; zbMATH DE number 6547337 |
Statements
Explicit formulas of a generalized Ramanujan sum (English)
0 references
29 February 2016
0 references
Ramanujan sums
0 references
explicit formulas
0 references
prime number theorem
0 references
In this paper, explicit formulas involving a generalized Ramanujan sum are derived. An analogue of the prime number theorem is obtained and equivalences of the Riemann hypothesis are shown. Finally, explicit formulas of Bartz are generalized. The proofs use the Perron formula.
0 references
