| Title |
Joint universality for periodic Hurwitz zeta-functions / |
| Translation of Title |
Periodinių Hurvico dzeta funkcijų jungtinis universalumas. |
| Authors |
Skerstonaitė, Santa |
| Full Text |
|
| Pages |
29 |
| Keywords [eng] |
Limit theorem ; periodic Hurwitz zeta-function ; probability measure ; universality ; weak convergence |
| Abstract [eng] |
The aim of our work is to obtain joint universality theorems for periodic Hurwitz zeta-functions. We prove two joint universality theorems for periodic Hurwitz zeta-function. In the first theorems, the set L is linearly independent over the field of national numbers, then the periodic Hurwitz zeta-functions are universality. In the second joint universality theorem, we consider the use then parameter alpha corresponds general periodic sequence. Then the set L is linearly independent over the field of national numbers and the rank hypothesis in this theorem is weaker then that in A. Laurinčikas (2008) work. Then the second periodic Hurwitz zeta-functions are universal too. |
| Type |
Master thesis |
| Language |
English |
| Publication date |
2009 |
