The paper considers principal features of interactions (transfer homomorphisms) for the Hecke–Shimura rings of integral symplectic groups and integral orthogonal groups of positive-definite integral quadratic forms both operating on the theta-series of positive-definite quadratic forms by Hecke operators.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 418, 2013, pp. 8–27.
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Andrianov, A. Interaction of Hecke–Shimura Rings Acting on Theta-Series. J Math Sci 200, 521–531 (2014). https://doi.org/10.1007/s10958-014-1941-9
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DOI: https://doi.org/10.1007/s10958-014-1941-9