2014 Fiscal Year Final Research Report
A study on analytic behavior of Euler products and Dirichlet series
| Project/Area Number |
25887003
|
|---|
| Research Category |
Grant-in-Aid for Research Activity Start-up
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Otaru University of Commerce |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2013-08-30 – 2015-03-31
|
| Keywords | オイラー積 / ディリクレ級数 / 素数 / 零点 / 約数関数 |
|---|
| Outline of Final Research Achievements |
We investigated relations among behavior of the Euler product/Dirichlet series, the prime numbers and the zeros of the Riemann zeta-function. We studied the behavior of the Euler product/Dirichlet series numerically. We also studied the maximal order of a certain divisor function, using the behavior of the Euler product.
|
| Free Research Field |
解析的整数論
|
