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Mizumoto, Shin-ichiro

Fourier coefficients of generalized Eisenstein series of degree two. (English) Zbl 0536.10020

Proc. Japan Acad., Ser. A 59, 241-244 (1983).
Summary of the paper reviewed above.

Cited in 3 Documents

MSC:

11F27 Theta series; Weil representation; theta correspondences
11F11 Holomorphic modular forms of integral weight

Keywords:

modular forms; Fourier coefficients; explicit formula; elliptic cusp forms; Klingen-Eisenstein series of degree two

Citations:

Zbl 0452.10032; Zbl 0461.10018; Zbl 0503.10018; Zbl 0497.10020; Zbl 0536.10019
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References:

[1] S. Bocherer: Uber gewisse Siegelsche Modulf ormen zweiten Grades. Math. Ann., 261, 23-41 (1982). · Zbl 0503.10017 · doi:10.1007/BF01456406
[2] Z. I. Borevich and I. R. Shafarevich: Number Theory. Academic Press (1966). · Zbl 0145.04902
[3] N. Kurokawa: On Eisenstein series for Siegel modular groups. Proc. Japan Acad., 57A, 51-55 (1981). · Zbl 0482.10026 · doi:10.3792/pjaa.57.51
[4] N. Kurokawa: ditto. II. ibid., 57A, 315-320 (1981). · Zbl 0496.10015 · doi:10.3792/pjaa.57.315
[5] N. Kurokawa and S. Mizumoto: On Eisenstein series of degree two. ibid., 57A, 134-139 (1981). · Zbl 0482.10028 · doi:10.3792/pjaa.57.134
[6] H. Maafl: Die Fourierkoeffizienten der Eisensteinreihen zweiten Grades. Mat.-Fys. Medd. Danske Vid. Selsk., 34, nr. 7 (1964). · Zbl 0132.06402
[7] S. Mizumoto: Fourier coefficients of generalized Eisenstein series of degree two. I. Invent, math., 65, 115-135 (1981). · Zbl 0452.10032 · doi:10.1007/BF01389298
[8] S. Mizumoto: ditto. II. Kodai Math. J. (to appear). · Zbl 0965.11021
[9] S. Mizumoto: On Eisenstein series of degree two for Hilbert-Siegel modular groups. Proc. Japan Acad., 58A, 33-36 (1982). · Zbl 0506.10026 · doi:10.3792/pjaa.58.33
[10] S. Mizumoto: Integrality of certain algebraic values attached to modular forms. ibid., 59A, 33-36 (1983). · Zbl 0518.10031 · doi:10.3792/pjaa.59.33
[11] G. Shimura: The special values of the zeta functions associated with cusp forms. Comm. Pure Appl. Math., 29, 783-804 (1976). · Zbl 0348.10015 · doi:10.1002/cpa.3160290618
[12] J. Sturm: Special values of zeta functions and Eisenstein series of half integral weight. Amer. J. Math., 102, 219-240 (1980). JSTOR: · Zbl 0433.10015 · doi:10.2307/2374237
[13] D. Zagier: Modular forms whose Fourier coefficients involve zeta-f unctions of quadratic fields. Lect. Notes in Math., vol. 627, Springer-Verlag, pp. 105-169 (1977). · Zbl 0372.10017
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