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Ribinė teorema L funkcijų sąsūkų su Dirichlė charakteriu argumentui / Limit Theorem for the Argument of Twists of L-functions with Dirichlet Character

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.

Identiferoai:union.ndltd.org:LABT_ETD/oai:elaba.lt:LT-eLABa-0001:E.02~2014~D_20140716_142601-64561
Date16 July 2014
CreatorsDaktaraitė, Gitana
ContributorsLaurinčikas, Antanas, Kanišauskas, Vadotas, Korsakienė, Daiva, Šiaučiūnas, Darius, Gedgaudas, Pranas, Grišiuvienė, Audronė, Kolupayeva, Alesia, Siauliai University
PublisherLithuanian Academic Libraries Network (LABT), Siauliai University
Source SetsLithuanian ETD submission system
LanguageLithuanian
Detected LanguageEnglish
TypeBachelor thesis
Formatapplication/pdf
Sourcehttp://vddb.library.lt/obj/LT-eLABa-0001:E.02~2014~D_20140716_142601-64561
RightsUnrestricted

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