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Discrete universality of the L-functions of elliptic curves.
- Source :
-
Siberian Mathematical Journal . Jul2008, Vol. 49 Issue 4, p612-627. 16p. - Publication Year :
- 2008
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ELLIPTIC curves
*L-functions
*NUMBER theory
*CIRCLE-squaring
*ANALYTIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 00374466
- Volume :
- 49
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Siberian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 34227572
- Full Text :
- https://doi.org/10.1007/s11202-008-0058-0