@article{CM_1982__45_2_207_0, author = {Kudla, Stephen S. and Millson, John J.}, title = {Geodesic cycles and the Weil representation I ; quotients of hyperbolic space and Siegel modular forms}, journal = {Compositio Mathematica}, volume = {47}, year = {1982}, pages = {207-271}, mrnumber = {651982}, zbl = {0495.10016}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1982__45_2_207_0} }
Kudla, Stephen S.; Millson, John J. Geodesic cycles and the Weil representation I ; quotients of hyperbolic space and Siegel modular forms. Compositio Mathematica, Tome 47 (1982) pp. 207-271. http://gdmltest.u-ga.fr/item/CM_1982__45_2_207_0/
[1] On the Doi-Naganuma lifting associated with imaginary quadratic fields, Nagoya Math. J., 71 (1978), 149-167. | MR 509001 | Zbl 0357.10013
:[2] Le Spectre d'une Variété Riemannienne, Lecture Notes in Mathematics, 194, Springer-Verlag, New York. | Zbl 0223.53034
, and ,[3] Asymptotic distributions associated with the Laplacian for forms, Comm. Pure and Appl. Math., XI (1958), 535-545. | MR 99541 | Zbl 0102.09604
:[4] Examples of dual reductive pairs, Proc. Symp. Pure Math., 33 (1979), part 1, 287-296. | MR 546603 | Zbl 0425.22024
:[5] Connections, Curvature, and Cohomology, vol. I, Academic Press, New York and London, 1972. | MR 336650 | Zbl 0322.58001
, and :[6] Differential Geometry and Symmetric Spaces, Academic Press, New York and London, 1962. | MR 145455 | Zbl 0111.18101
,[7] Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus, Invent. Math., 36 (1976), 57-113. | MR 453649 | Zbl 0332.14009
and :[8] θ-series and invariant theory, Proc. Symp. Pure Math., 33 (1979), part 1, 275-285. | Zbl 0423.22016
:[9] The Weil Representation, Maslov Index and Theta Series, Birkhäuser, Boston-Basel- Stuttgart, 1980. | MR 573448 | Zbl 0444.22005
and :[10] Über Poincarésche Reihen vom Exponentialtyp, Math. Ann., 234 (1978), 145-157. | MR 480357 | Zbl 0357.32019
:[11] Strong approximation, Proc. Symp. Pure Math., vol. 9, A.M.S. (1966), 187-196. | MR 213361 | Zbl 0201.37904
:[12] Intersection numbers for quotients of the complex 2-ball and Hilbert modular forms, Invent. Math., 47 (1978), 189-208. | MR 501929 | Zbl 0399.10030
:[13] Harmonic differentials and closed geodesics on a Riemann surface, Invent. Math., 54 (1979), 193-211. | MR 553218 | Zbl 0429.30038
and :[14] Siegel's Modular Forms and Dirichlet Series, Lecture Notes in Mathematics, 216, Springer-Verlag, New York, 1971. | MR 344198 | Zbl 0224.10028
:[15] Geometric construction of cohomology of arithmetic groups I, to appear in the Patodi Memorial Issue of the Journal of the Indian Math. Soc. | MR 592256 | Zbl 0524.22012
and :[16] Modular forms of half integral weight and the integral of certain theta function, Nagoya Math. J., 56 (1975), 147-163. | MR 364106 | Zbl 0303.10027
:[17] Introduction to Quadratic Forms, Springer-Verlag, New York, 1971. | Zbl 0207.05304
:[18] On modular forms associated with indefinite quadratic forms of signature (2, n - 2), Math. Ann., 231 (1977), 97-144. | MR 466026 | Zbl 0346.10013
:[19] The structure of semisimple symmetric spaces, Journal of Canadian Math. Soc., 31 (1979), 157-180. | MR 518716 | Zbl 0357.53033
:[20] On the estimation of Fourier coefficients of modular forms, Proc. Symp. Pure Math., 10 (1965), 1-15. | MR 182610 | Zbl 0142.33903
:[21] On construction of holomorphic cusp forms of half integral weight, Nagoya Math. J., 58 (1975), 83-126. | MR 389772 | Zbl 0316.10016
:[22] Sur certains groupes d'operateurs unitaires, Acta Math., 111 (1964), 143-211. | MR 165033 | Zbl 0203.03305
:[23] Modular forms associated to real quadratic fields, Invent. Math., 30 (1975), 1-46. | MR 382174 | Zbl 0308.10014
:[24] Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields; Modular Functions of One Variable VI, Bonn; Lecture Notes in Math., 627, Springer-Verlag, New York, 1976. | MR 485703 | Zbl 0372.10017
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