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This article is cited in 10 scientific papers (total in 10 papers)
Hecke rings for a covering of the symplectic group
V. G. Zhuravlev
Abstract:
Using the standard theta series of genus $n$, the Hecke rings $\hat D=\hat D(\Gamma_0^n(q),S^n(q))$, for a covering $\mathfrak{G}$ of the symplectic group $GSp_n^+(\mathbf R)$ are constructed. The special role of four subrings of $\hat D$ is described, as well as some finitely generated arithmetic subrings $\hat L_p^n(\varkappa)$. The latter are important in the study of multiplicative properties of the Fourier coefficients of Siegel modular forms of half-integral weight.
Bibliography: 11 titles.
Received: 14.06.1982
Citation:
V. G. Zhuravlev, “Hecke rings for a covering of the symplectic group”, Mat. Sb. (N.S.), 121(163):3(7) (1983), 381–402; Math. USSR-Sb., 49:2 (1984), 379–399
Linking options:
https://www.mathnet.ru/eng/sm2208https://doi.org/10.1070/SM1984v049n02ABEH002716 https://www.mathnet.ru/eng/sm/v163/i3/p381
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Abstract page: | 239 | Russian version PDF: | 95 | English version PDF: | 11 | References: | 38 |
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