@article{bwmeta1.element.bwnjournal-article-aav93i3p237bwm, author = {Ze-Li Dou}, title = {Theta correspondence and Hecke operators relative to a quadratic extension}, journal = {Acta Arithmetica}, volume = {92}, year = {2000}, pages = {237-255}, zbl = {0986.11032}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav93i3p237bwm} }
Ze-Li Dou. Theta correspondence and Hecke operators relative to a quadratic extension. Acta Arithmetica, Tome 92 (2000) pp. 237-255. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav93i3p237bwm/
[000] [D94] Z. L. Dou, On the fundamental periods of Hilbert modular forms, Trans. Amer. Math. Soc. 346 (1994), 147-158. | Zbl 0822.11044
[001] [D98] Z. L. Dou, On adelic automorphic forms with respect to a quadratic extension, Bull. Austral. Math. Soc., to appear. | Zbl 0970.11018
[002] [D99] Z. L. Dou, On a theta correspondence with respect to a quadratic extension, J. Number Theory 79 (1999), 1-18. | Zbl 0943.11025
[003] [Sh80] G. Shimura, The arithmetic of certain zeta functions and automorphic forms on orthogonal groups, Ann. of Math. 111 (1980), 313-375. | Zbl 0438.12003
[004] [Sh81I] G. Shimura, On certain zeta functions attached to two Hilbert modular forms, I, ibid. 114 (1981), 127-164. | Zbl 0468.10016
[005] [Sh81II] G. Shimura, On certain zeta functions attached to two Hilbert modular forms, II, ibid. 114 (1981), 569-607. | Zbl 0486.10021
[006] [Sh82] G. Shimura, The periods of certain automorphic forms of arithmetic type, J. Fac. Sci. Univ. Tokyo Sect. IA 28 (1982), 605-632. | Zbl 0499.10027
[007] [Sh88] G. Shimura, On the critical values of certain Dirichlet series and the periods of automorphic forms, Invent. Math. 94 (1988), 245-305. | Zbl 0656.10018
[008] [Sh90] G. Shimura, On the fundamental periods of automorphic forms of arithmetic type, ibid. 102 (1990), 399-428. | Zbl 0712.11028
[009] [Sh91] G. Shimura, The critical values of certain Dirichlet series attached to Hilbert modular forms, Duke Math. J. 63 (1991), 557-613. | Zbl 0752.11021
[010] [Sh93] G. Shimura, On the transformation formulas of theta series, Amer. J. Math. 115 (1993), 1011-1052. | Zbl 0802.11016
[011] [Sh] G. Shimura, Two correspondences to Ze-Li Dou, unpublished.
[012] [Y] H. Yoshida, On a conjecture of Shimura concerning periods of Hilbert modular forms, Amer. J. Math. 117 (1995), 1019-1038. | Zbl 0841.11024