References
H. Braun, Hermitian Modular Functions, I.Ann. Math.50 (1949), 827–855.
D. M. Cohen andH. L. Resnikoff, Hermitian Quadratic Forms and Hermitian Modular Forms.Pac. J. Math.76 (1978), 329–337.
F. Feit, Explicit Formulas for Local Factors in the Euler Products for Eisenstein Series.Nagoya Math. J.113 (1989), 37–87.
—, Explicit Formulas for Local Factors: Addenda and Errata.Nagoya Math. J. 133 (1994), 177–187.
E. Freitag,Siegeische Modulfunktionen. Grundlehren Math. Wiss. Bd.254 Springer Verlag Berlin-Heidelberg-New York 1983.
K. Iyanaga, Class Numbers of Definite Hermitian Forms.J. Math. Soc. Japan21 (1965), 359–374.
V. L. Kalinin, Eisenstein Series on the Symplectic Group.Math. USSR Sbornik32 (1977), 449–476.
H. Kim, Eisenstein Series on Quaternion Half-space of Degreen. Manuscripta Math.77 (1992), 215–235.
W. Kohnen, Class Numbers, Jacobi Forms and Siegel-Eisenstein Series of Weight 2 onSp2(ℤ).Math. Z.213 (1993), 75–95.
H. Maass, Siegel’sModular Forms and Dirichlet Series. Lect. Notes Math.216 Springer Verlag Berlin-Heidelberg-New York 1971.
S. Mizumoto, Eisenstein Series for Siegel Modular Groups.Math. Ann.297 (1993), 581–625.
S. Nagaoka, An Explicit Formula for Siegel Series.Abh. Math. Sem. Univ. Hamburg59 (1989), 235–262.
—, On Eisenstein Series for the Hermitian Modular Groups and the Jacobi Groups.Abh. Math. Sem. Univ. Hamburg 62 (1992), 117–146.
—, A Note on the Siegel-Eisenstein Series of Weight 2 onSp 2 Manuscripta Math. 11 (1992), 71–88.
—, On Hermitian Eisenstein Series.Proc. Japan Acad. 70 (1994), 115–117.
H. L. Resnikoff, Automorphic Forms of Singular Weight are Singular Forms.Math. Ann.215 (1975), 173–193.
G. Shimura, Confluent Hypergeometric Functions on Tube Domains.Math. Ann.260 (1982), 269–302.
—, On Eisenstein Series.Duke Math. J. 50 (1983), 417–76.
A. Terras, A Generalization of Epstein’s Zeta Function.Nagoya Math. J.42 (1971), 173–188.
—,Harmonic Analysis on Symmetric Spaces and Applications, I, II. Springer Verlag Berlin-Heidelberg-New York-London-Paris-Tokyo, 1985, 1988.
T. C. Vasudevan,Some Problems on Hermitian Modular Forms. Thesis, The University of Bombay 1978.
R. Weissauer,Stabile Modulformen und Eisensteinreihen. Lect. Notes Math.1219 Springer Verlag Berlin-Heidelberg-New York 1986.
S. T. Wong, The Meromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Group.Memoirs of the Amer. Math. Soc. 423 (1990), A.M.S.
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Nagaoka, S. Note on Siegel-Eisenstein series of low weight. Abh.Math.Semin.Univ.Hambg. 66, 159–176 (1996). https://doi.org/10.1007/BF02940802
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DOI: https://doi.org/10.1007/BF02940802