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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 4, Pages 768–785
(Mi smj1876)
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This article is cited in 2 scientific papers (total in 2 papers)
Discrete universality of the $L$-functions of elliptic curves
V. Garbaliauskienėa, J. Genysa, A. Laurinčikasab a Faculty of Mathematics and Informatics, Šiauliai University
b Department of Mathematical Computer Science, Vilnius University
Abstract:
A discrete universality theorem is obtained in the Voronin sense for the $L$-functions of elliptic curves. We use the difference of an arithmetical progression $h>0$ such that $\exp\{\frac{2\pi k}h\}$ is rational for some $k\ne0$. A limit theorem in the space of analytic functions plays a crucial role in the proof.
Keywords:
elliptic curve, $L$-function, limit theorem, probability measure, random element, space of analytic functions, universality, weak convergence.
Received: 13.02.2007
Citation:
V. Garbaliauskienė, J. Genys, A. Laurinčikas, “Discrete universality of the $L$-functions of elliptic curves”, Sibirsk. Mat. Zh., 49:4 (2008), 768–785; Siberian Math. J., 49:4 (2008), 612–627
Linking options:
https://www.mathnet.ru/eng/smj1876 https://www.mathnet.ru/eng/smj/v49/i4/p768
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Abstract page: | 243 | Full-text PDF : | 62 | References: | 33 | First page: | 1 |
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