کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
469344 | 698310 | 2010 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Conjectures on the fundamental domain of the Hilbert modular group
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Previous work has given some bounds on the fundamental domain of the Hilbert modular group in certain cases. In particular, the projection of the intersection of the fundamental domain with the manifold |z⋅z′|=1|z⋅z′|=1 into the plane determined by the imaginary parts of zz and z′z′ is a region contained within a figure bounded by two lines and two hyperbolas. Some intense numerical computation gives a conjectured outline of the actual boundary of the above two-dimensional projection. We work with the case of Q(5) and Q(2) and observe that one of the bounding hyperbolas may be more accurately replaced by three or four currently unknown curves. Additional conjectures about the fundamental domain are listed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 59, Issue 2, January 2010, Pages 700–705
Journal: Computers & Mathematics with Applications - Volume 59, Issue 2, January 2010, Pages 700–705
نویسندگان
Jesse Ira Deutsch,