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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 4, Pages 768–785 (Mi smj1876)  
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
Full-text PDF (362 kB) Citations (2)
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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
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 4, Pages 612–627
DOI: https://doi.org/10.1007/s11202-008-0058-0
Bibliographic databases:
UDC: 511
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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