Sakykime, kad F yra normuota parabolinė tikrinė forma pilnosios modulinės grupės atžvilgiu, L(s, F) yra susieta su L funkcijos sąsūka L(s, F, χ) su Dirichlė charakteriu moduliu q, kai q yra pirminis skaičius. Bakalauro darbe įrodyta ribinė teorema L funkcijų sąsūkų argumentui arg L(s, F, χ). / Let F(z) a holomorfic normalized Hecke eigen cups form of weight κ for the full modular group, L(s, F), s = σ + it, be the L-function attached to the form F. Let L(s, F, χ) denote a twist of L(s, F) with a Dirichlet character χ modulo q, by the Dirichlet series and can be analytically continued to an entire function. It has an Euler product over prime numbers. We obtain the weak dinvergence for probability measures μQ(arg L(s, F, χ) ∈ A), A ∈ B(γ), where γ is the unit circle on the complex plane, as Q → ∞. For the proof, the method of characteristic transforms and the limit measures in limit theorems obtained are defined characteristic transforms.
| Identifer | oai:union.ndltd.org:LABT_ETD/oai:elaba.lt:LT-eLABa-0001:E.02~2014~D_20140716_142601-64561 |
| Date | 16 July 2014 |
| Creators | Daktaraitė, Gitana |
| Contributors | Laurinčikas, Antanas, Kanišauskas, Vadotas, Korsakienė, Daiva, Šiaučiūnas, Darius, Gedgaudas, Pranas, Grišiuvienė, Audronė, Kolupayeva, Alesia, Siauliai University |
| Publisher | Lithuanian Academic Libraries Network (LABT), Siauliai University |
| Source Sets | Lithuanian ETD submission system |
| Language | Lithuanian |
| Detected Language | English |
| Type | Bachelor thesis |
| Format | application/pdf |
| Source | http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2014~D_20140716_142601-64561 |
| Rights | Unrestricted |
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