| Title |
Moment problem for the periodic zeta-function / |
| Translation of Title |
Momentų problema periodinei dzeta funkcijai. |
| Authors |
Černigova, Sondra |
| Full Text |
|
| Pages |
80 |
| Keywords [eng] |
periodic zeta-function ; Riemann zeta-function ; the Atkinson formula |
| Abstract [eng] |
In the thesis, problems related to the moments of the periodic zeta-function are considered. The aim of the thesis is to obtain asymptotic formulae for some analytic objects related to the periodic zeta-function. The problems are the following: 1. To prove the Atkinson-type formula with a new error term in the critical strip for the periodic zeta-function with rational parameter. 2. To prove a mean square formula for the error term in the Atkinson-type formula on the critical line for the periodic zeta-function. 3. To prove a mean square formula for the error term in the Atkinson-type formula in the critical strip for the periodic zeta-function. 4. To obtain an asymptotic formula for the fourth power moment of the periodic zeta-function. |
| Type |
Doctoral thesis |
| Language |
English |
| Publication date |
2014 |
