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On the Functional Independence of Zeta-Functions of Certain Cusp Forms.
- Source :
-
Mathematical Notes . Mar2020, Vol. 107 Issue 3/4, p609-617. 9p. - Publication Year :
- 2020
-
Abstract
- The zeta-function ζ(s, F), s = σ + it of a cusp form F of weight κ in the half-plane σ > (κ + 1)/2 is defined by the Dirichlet series whose coefficients are the coefficients of the Fourier series of the form F. The compositions V(ζ(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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 107
- Issue :
- 3/4
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 142867152
- Full Text :
- https://doi.org/10.1134/S0001434620030281