کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582921 | 1630377 | 2014 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On L-functions of certain exponential sums
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On L-functions of certain exponential sums On L-functions of certain exponential sums](/preview/png/4582921.png)
چکیده انگلیسی
Let Fq denote the finite field of order q of characteristic p. We study the p-adic valuations for zeros of L-functions associated with exponential sums of the following family of Laurent polynomialsf(x)=a1xn+1(x1+1x1)+â¯+anxn+1(xn+1xn)+an+1xn+1+1xn+1 where aiâFqâ, i=1,2,â¦,n+1. When n=2, the estimate of the associated exponential sum appears in Iwaniecʼs work on small eigenvalues of the Laplace-Beltrami operator acting on automorphic functions with respect to the group Î0(p), and Adolphson and Sperber gave complex absolute values for zeros of the corresponding L-function. Using the decomposition theory of Wan, we determine the generic Newton polygon (q-adic values of the reciprocal zeros) of the L-function. Working on the chain level version of Dworkʼs trace formula and using Wanʼs decomposition theory, we are able to give an explicit Hasse polynomial for the generic Newton polygon in low dimensions, i.e., n⩽3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 26, March 2014, Pages 7-31
Journal: Finite Fields and Their Applications - Volume 26, March 2014, Pages 7-31
نویسندگان
Jun Zhang, Weiduan Feng,