کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5772501 1630635 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some mixed character sum identities of Katz
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Some mixed character sum identities of Katz
چکیده انگلیسی
A conjecture connected with quantum physics led N. Katz to discover some amazing mixed character sum identities over a field of q elements, where q is a power of a prime p>3. His proof required deep algebro-geometric techniques, and he expressed interest in finding a more straightforward direct proof. Such a proof has been given by Evans and Greene in the case q≡3(mod4), and in this paper we give a proof for the remaining case q≡1(mod4). Moreover, we show that the identities are valid for all characteristics p>2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 179, October 2017, Pages 17-32
نویسندگان
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