Abstract
In (Katsurada in Math. Z. 259:97–111, 2008), we gave a certain type of normalization of the standard zeta values for Siegel modular forms, and considered the relationship between such values and congruence of cuspidal Hecke eigenforms. In this paper we give more reasonable normalization for such values and improve our previous result.
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Andrianov, A.N.: Quadratic Forms and Hecke Operators. Springer, Berlin (1987)
Böcherer, S.: Über die Fourier–Jacobi–Entwicklung Siegelscher Eisensteinreihen II. Math. Z. 189, 81–110 (1985)
Böcherer, S., Schmidt, C.G.: p-adic measures attached to Siegel modular forms. Ann. Inst. Fourier 50, 1375–1443 (2000)
Ibukiyama, T.: On Differential operators on automorphic forms and invariant pluri-harmonic polynomials. Comment. Math. Univ. St. Pauli 48, 103–118 (1999)
Katsurada, H.: Congruence of Siegel modular forms and special values of their zeta functions. Math. Z. 259, 97–111 (2008)
Mizumoto, S.: On integrality of Eisenstein liftings. Manuscr. Math. 89, 203–235 (1996). Corrections ibid. 307, 169–171 (1997)
Mizumoto, S.: Poles and residues of standard L-functions attached to Siegel modular forms. Math. Ann. 289, 589–612 (1991)
Shimura, G.: On Eisenstein series. Duke Math. J. 50, 417–476 (1983)
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Communicated by U. Kühn.
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Katsurada, H. A remark on the normalization of the standard zeta values for Siegel modular forms. Abh. Math. Semin. Univ. Hambg. 80, 37–45 (2010). https://doi.org/10.1007/s12188-010-0035-y
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DOI: https://doi.org/10.1007/s12188-010-0035-y