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This article is cited in 1 scientific paper (total in 1 paper)
On the Functional Independence of Zeta-Functions of Certain Cusp Forms
A. Laurinčikas Vilnius University
Abstract:
The zeta-function $\zeta(s,F)$, $s=\sigma+it$ of a cusp form $F$ of weight $\kappa$ in the half-plane $\sigma>(\kappa+1)/2$ is defined by the Dirichlet series whose coefficients are the coefficients of the Fourier series of the form $F$. The compositions $V(\zeta(s,F))$ with an operator $V$ on the space of analytic functions are considered, and the functional independence of these compositions for certain classes of operators $V$ is proved.
Keywords:
zeta-function of a cusp form, functional independence, Hecke eigen-cusp form, universality.
Received: 26.04.2019 Revised: 05.08.2019
Citation:
A. Laurinčikas, “On the Functional Independence of Zeta-Functions of Certain Cusp Forms”, Mat. Zametki, 107:4 (2020), 550–560; Math. Notes, 107:4 (2020), 609–617
Linking options:
https://www.mathnet.ru/eng/mzm12420https://doi.org/10.4213/mzm12420 https://www.mathnet.ru/eng/mzm/v107/i4/p550
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Abstract page: | 211 | Full-text PDF : | 16 | References: | 30 | First page: | 5 |
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