| Title |
Limit theorems for Lerch zeta-functions with algebraic irrational parameter / |
| Translation of Title |
Lercho dzeta funkcijų su algebriniu iracionaliuoju parametru ribinės teoremos. |
| Authors |
Genienė, Danutė Regina |
| Full Text |
|
| Pages |
66 |
| Keywords [eng] |
algebraic irrational number ; Lerch zeta-function ; limit theorem ; probability measure ; weak convergence |
| Abstract [eng] |
Limit theorems in the sense of weak convergence of probability measures for the Lerch zeta-function with algebraic irrational parameter are obtained. A theorem of mentioned type on the complex plane, a joint limit theorem for a collection of Lerch zeta-functions on the complex plane as well as a limit theorem in the space of analytic functions are proved. The theorems obtained characterize the asymptotic behaviour of the Lerch zeta-function and can be applied in the investigation of the universality of that function. |
| Type |
Doctoral thesis |
| Language |
English |
| Publication date |
2010 |
