کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415744 1335770 2010 48 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups
چکیده انگلیسی

Let H be a definite quaternion algebra over Q with discriminant DH and R a maximal order of H. We denote by Gn a quaternionic unitary group and put Γn=Gn(Q)∩GL2n(R). Let Sκ(Γn) be the space of cusp forms of weight κ with respect to Γn on the quaternion half-space of degree n. We construct a lifting from primitive forms in Sk(SL2(Z)) to Sk+2n−2(Γn) and a lifting from primitive forms in Sk(Γ0(d)) to Sk+2(Γ2), where d is a factor of DH. These liftings are generalizations of the Maass lifting investigated by Krieg.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 130, Issue 11, November 2010, Pages 2480-2527
نویسندگان
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