| Title |
Value-distribution of twisted L-functions of normalized cusp forms / |
| Translation of Title |
Normuotų parabolinių formų L funkcijų sąsūkų reikšmių pasiskirstymas. |
| Authors |
Kolupayeva, Alesia |
| Full Text |
|
| Pages |
72 |
| Keywords [eng] |
Dirichlet character ; twisted L-function ; normalized Hecke eigen cups form ; weak convergence |
| Abstract [eng] |
In the thesis, the asymptotic behavior of twisted with Dirichlet character L-functions of normalized Hecke eigen cusp form is considered when the modulus of the character increases. The aim of the thesis is to prove limit theorems in the sense of weak convergence of probability measures for twisted with Dirichlet character L-functions of normalized Hecke eigen cusp forms with respect to increasing modulus of the character, more precisely, to obtain the following theorems: 1. To prove a limit theorem for the modulus of twisted with Dirichlet character L-functions of normalized Hecke eigen cusp forms. 2. To prove a limit theorem for the argument of twisted with Dirichlet character L-functions of normalized Hecke eigen cusp forms. 3. To prove a limit theorem on the complex plane for twisted with Dirichlet character L-functions of normalized Hecke eigen cusp forms. 4. To prove a joint limit theorem for twisted with Dirichlet character L-functions of normalized Hecke eigen cusp forms. All results of the thesis are new. Limit theorems for twisted with Dirichlet character L -functions of normalized Hecke eigen cusp forms earlier were not known. |
| Type |
Summaries of doctoral thesis |
| Language |
English |
| Publication date |
2011 |
