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 \( \exp \left\{ {\frac{{2\pi k}} {h}} \right\} \) is rational for some k ≠ 0. A limit theorem in the space of analytic functions plays a crucial role in the proof.
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Original Russian Text Copyright © 2008 Garbaliauskienė V., Genys J., and Laurinčikas A.
The third author was partially supported by the Lithuanian Foundation of Studies and Science.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 4, pp. 768–785, July–August, 2008.
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Garbaliauskienė, V., Genys, J. & Laurinčikas, A. Discrete universality of the L-functions of elliptic curves. Sib Math J 49, 612–627 (2008). https://doi.org/10.1007/s11202-008-0058-0
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DOI: https://doi.org/10.1007/s11202-008-0058-0