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- W4382195440 abstract "In the paper, we prove the discrete universality theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the L-functions of elliptic curves. We consider an approximation of analytic functions by translations LE (s+imh) , where h > 0 is a fixed number, the translations of the imaginary part of the complex variable take values from some discrete set such as arithmetical progression. We suppose that the number h > 0 is chosen so that exp{2πk/h } is an rational number for some non-zero integer. The proof of discrete universality of the derivatives of L-functions of elliptic curves is based on a limit theorem in the sense of weak convergence of probability measures in the space of analytic functions." @default.
- W4382195440 created "2023-06-28" @default.
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- W4382195440 date "2022-12-30" @default.
- W4382195440 modified "2023-09-25" @default.
- W4382195440 title "The Investigation of the Discrete Universality of L-Functions of Elliptic Curves" @default.
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- W4382195440 doi "https://doi.org/10.15388/jmd.2022.12" @default.
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