Department of Mathematics, Seoul National University, Seoul 151-742, Korea
Bibliografia
[A1] A. N. Andrianov, Quadratic Forms and Hecke Operators, Grundlehren Math. Wiss. 286, Springer, 1987.
[A2] A. N. Andrianov, The multiplicative arithmetic of Siegel modular forms, Russian Math. Surveys 34 (1979), 75-148.
[A-M] A. N. Andrianov and G. N. Maloletkin, The behavior of theta-series of genus n under modular substitution, Math. USSR-Izv. 9 (1975), 227-241.
[C] H. Cartan, Fonctions Automorphes, Séminaire H. Cartan, 10e année, Vol. I, II, Secrétariat Math., 1958.
[C-J] R. Carlsson und W. Johannssen, Der Multiplikator von Thetareihen höheren Grades zu quadratischen Formen ungerader Ordnung, Math. Z. 177 (1981), 439-447.
[F] E. Freitag, Siegelsche Modulfunktionen, Springer, 1983.
[KKO] M.-H. Kim, J. K. Koo and Y. Y. Oh, Commuting relation between the Siegel operator and Hecke operators on half integral weight Siegel modular forms, preprint.
[Koe] M. Koecher, Zur Theorie der Modulformen n-ten Grades. I, II, Math. Z. 59 (1954), 399-416; Math. Z. 61 (1955), 455-466.
[M] H. Maass, Siegel's Modular Forms and Dirichlet Series, Lecture Notes in Math. 216, Springer, 1971.
[Og] A. Ogg, Modular Forms and Dirichlet Series, Benjamin, 1969.
[O] O. T. O'Meara, Introduction to Quadratic Forms, Grundlehren Math. Wiss. 117, Springer, 1963.
[S1] G. Shimura, On certain reciprocity laws for theta functions and modular forms, Acta Math. 141 (1978), 35-71.
[S2] G. Shimura, On modular forms of half integral weight, Ann. of Math. (2) 97 (1973), 440-481.
[S3] G. Shimura, Introduction to the Arithmetic Theory of Automorphic Functions, Princeton Univ. Press, 1971.
[Si1] C. L. Siegel, Über die analytische Theorie der quadratischen Formen, I, II, III, Ann. of Math. 36 (1935), 527-606; Ann. of Math. 37 (1936), 230-263; Ann. of Math. 38 (1937), 212-291.
[Si2] C. L. Siegel, Lectures on Analytic Theory of Quadratic Forms, revised ed., IAS and Princeton Univ. Press, 1949.
[St] R. Styer, Prime determinant matrices and the symplectic theta functions, Amer. J. Math. 106 (1984), 645-664.
[Z] N. A. Zharkovskaya, The Siegel operator and Hecke operators, Functional Anal. Appl. 8 (1974), 113-120.
[Zh1] V. G. Zhuravlev, Hecke rings for a covering of the symplectic groups, Math. USSR-Sb. 49 (1984), 379-399.
[Zh2] V. G. Zhuravlev, Expansions of theta-transformations of Siegel modular forms of half integral weight and their analytic properties, Math. USSR-Sb. 51 (1985), 169-190.
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Bibliografia
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