On explicit construction of Hilbert-Siegel modular forms of degree two
Hisashi Kojima
Acta Arithmetica, Tome 80 (1997), p. 265-274 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:207065 
@article{bwmeta1.element.bwnjournal-article-aav81i3p265bwm,
     author = {Hisashi Kojima},
     title = {On explicit construction of Hilbert-Siegel modular forms of degree two},
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {265-274},
     zbl = {1011.11028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav81i3p265bwm}
}

Hisashi Kojima. On explicit construction of Hilbert-Siegel modular forms of degree two. Acta Arithmetica, Tome 80 (1997) pp. 265-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav81i3p265bwm/

[000] [1] T. Asai, On the Doi-Naganuma lifting associated with imaginary quadratic fields, Nagoya Math. J. 71 (1978), 149-167. | Zbl 0357.10013

[001] [2] S. Friedberg, On the imaginary quadratic Doi-Naganuma lifting of modular forms of arbitrary level, ibid. 92 (1983), 1-20. | Zbl 0506.10022

[002] [3] H. Kojima, Siegel modular cusp forms of degree two, Tôhoku Math. J. 33 (1981), 65-75. | Zbl 0461.10019

[003] [4] H. Kojima, On construction of Siegel modular forms of degree two, J. Math. Soc. Japan 34 (1982), 393-411. | Zbl 0476.10022

[004] [5] S. Niwa, Modular forms of half integral weight and the integral of certain theta-functions, Nagoya Math. J. 56 (1974), 147-161. | Zbl 0303.10027

[005] [6] T. Oda, On modular forms associated with indefinite quadratic forms of signature (2,n-2), Math. Ann. 231 (1977), 97-144. | Zbl 0346.10013

[006] [7] I. I. Piatetski-Shapiro, On the Saito-Kurokawa lifting, Invent. Math. 71 (1983), 309-338. | Zbl 0515.10024

[007] [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. | Zbl 0465.10024

[008] [9] G. Shimura, The arithmetic of certain zeta functions and automorphic forms on orthogonal groups, Ann. of Math. 111 (1980), 313-375. | Zbl 0438.12003

[009] [10] G. Shimura, On certain zeta functions attached to Hilbert modular forms: 1. The case of Hecke characters, ibid. 114 (1981), 127-164. | Zbl 0468.10016