In this paper one computes the“−2 power” of the Frobenius element of the Hecke ring of the subgroup ⌈n,1(q) of a modular group of genus n+1, which is the semidirect product of the Heisenberg group and the modular group ⌈n(q) of genusn.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 125, pp. 65–73, 1983.
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Gritsenko, V.A. Recurrence relations in the theory of Hecke operators. J Math Sci 26, 2342–2348 (1984). https://doi.org/10.1007/BF01680014
- Recurrence Relation
- Heisenberg Group
- Semidirect Product
- Modular Group
- Frobenius Element