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 |