کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595048 1335795 2008 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Strong approximation of quadrics and representations of quadratic forms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Strong approximation of quadrics and representations of quadratic forms
چکیده انگلیسی

Let V be an indefinite quadratic space over a number field F and U be a nondegenerate subspace of V. Suppose that M is a lattice on V, and that N is a lattice on U which is represented by M locally everywhere. The main result of this paper is a necessary and sufficient condition for which there exists a representation of N by M that approximates a given family of local representations. This is applied to determine when the variety of representations of U by V has strong approximation with respect to a finite set of primes of F that contains all the archimedean primes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 128, Issue 7, July 2008, Pages 2091-2096