This article is cited in 8 papers

Generating Elements of the Annihilating Ideal for Modular Symbols

V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: In the paper, the concrete generators are found for the annihilating ideal of the modular symbols associated with $SL(s;\mathbb{Z})$. Using this result, the (co)homology of subgroups of finite index is evaluated for $SL(s;\mathbb{Z})$.

Keywords: modular form, modular element, modular symbol, Eichler–Shimura module, annihilator ideal, generators of an ideal.

UDC: 512.743+512.817

Received: 13.05.2002

DOI: 10.4213/faa166

 English version: Functional Analysis and Its Applications, 2003, 37:4, 263–272

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