ArticleOriginal scientific text

Title

On explicit construction of Hilbert-Siegel modular forms of degree two

Authors 1

Affiliations

  1. Department of Mathematics, The University of Electro-Communications, Chofu-shi, Tokyo 182, Japan

Bibliography

  1. T. Asai, On the Doi-Naganuma lifting associated with imaginary quadratic fields, Nagoya Math. J. 71 (1978), 149-167.
  2. S. Friedberg, On the imaginary quadratic Doi-Naganuma lifting of modular forms of arbitrary level, ibid. 92 (1983), 1-20.
  3. H. Kojima, Siegel modular cusp forms of degree two, Tôhoku Math. J. 33 (1981), 65-75.
  4. H. Kojima, On construction of Siegel modular forms of degree two, J. Math. Soc. Japan 34 (1982), 393-411.
  5. S. Niwa, Modular forms of half integral weight and the integral of certain theta-functions, Nagoya Math. J. 56 (1974), 147-161.
  6. T. Oda, On modular forms associated with indefinite quadratic forms of signature (2,n-2), Math. Ann. 231 (1977), 97-144.
  7. I. I. Piatetski-Shapiro, On the Saito-Kurokawa lifting, Invent. Math. 71 (1983), 309-338.
  8. S. Rallis and G. Schiffmann, On a relation between SL₂ cusp forms and cusp forms on the tube domains associated to orthogonal groups, Trans. Amer. Math. Soc. 263 (1981), 1-58.
  9. G. Shimura, The arithmetic of certain zeta functions and automorphic forms on orthogonal groups, Ann. of Math. 111 (1980), 313-375.
  10. G. Shimura, On certain zeta functions attached to Hilbert modular forms: 1. The case of Hecke characters, ibid. 114 (1981), 127-164.
Pages:
265-274
Main language of publication
English
Received
1996-11-18
Published
1997
Exact and natural sciences