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

Hisashi Kojima

Acta Arithmetica (1997)

  • Volume: 81, Issue: 3, page 265-274
  • ISSN: 0065-1036

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Hisashi Kojima. "On explicit construction of Hilbert-Siegel modular forms of degree two." Acta Arithmetica 81.3 (1997): 265-274. <http://eudml.org/doc/207065>.

@article{HisashiKojima1997,
author = {Hisashi Kojima},
journal = {Acta Arithmetica},
keywords = {Hilbert-Siegel modular forms of degree two; correspondence; Hilbert modular forms; half integral weight; principal congruence group; Fourier coefficients},
language = {eng},
number = {3},
pages = {265-274},
title = {On explicit construction of Hilbert-Siegel modular forms of degree two},
url = {http://eudml.org/doc/207065},
volume = {81},
year = {1997},
}

TY - JOUR
AU - Hisashi Kojima
TI - On explicit construction of Hilbert-Siegel modular forms of degree two
JO - Acta Arithmetica
PY - 1997
VL - 81
IS - 3
SP - 265
EP - 274
LA - eng
KW - Hilbert-Siegel modular forms of degree two; correspondence; Hilbert modular forms; half integral weight; principal congruence group; Fourier coefficients
UR - http://eudml.org/doc/207065
ER -

References

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  1. [1] T. Asai, On the Doi-Naganuma lifting associated with imaginary quadratic fields, Nagoya Math. J. 71 (1978), 149-167. Zbl0357.10013
  2. [2] S. Friedberg, On the imaginary quadratic Doi-Naganuma lifting of modular forms of arbitrary level, ibid. 92 (1983), 1-20. Zbl0506.10022
  3. [3] H. Kojima, Siegel modular cusp forms of degree two, Tôhoku Math. J. 33 (1981), 65-75. Zbl0461.10019
  4. [4] H. Kojima, On construction of Siegel modular forms of degree two, J. Math. Soc. Japan 34 (1982), 393-411. Zbl0476.10022
  5. [5] S. Niwa, Modular forms of half integral weight and the integral of certain theta-functions, Nagoya Math. J. 56 (1974), 147-161. Zbl0303.10027
  6. [6] T. Oda, On modular forms associated with indefinite quadratic forms of signature (2,n-2), Math. Ann. 231 (1977), 97-144. Zbl0346.10013
  7. [7] I. I. Piatetski-Shapiro, On the Saito-Kurokawa lifting, Invent. Math. 71 (1983), 309-338. Zbl0515.10024
  8. [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. Zbl0465.10024
  9. [9] G. Shimura, The arithmetic of certain zeta functions and automorphic forms on orthogonal groups, Ann. of Math. 111 (1980), 313-375. Zbl0438.12003
  10. [10] G. Shimura, On certain zeta functions attached to Hilbert modular forms: 1. The case of Hecke characters, ibid. 114 (1981), 127-164. Zbl0468.10016

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