Uniform estimates for sums of coefficients of symmetric square L-function
نویسندگان
چکیده
منابع مشابه
Square Function/non-tangential Maximal Function Estimates and the Dirichlet Problem for Non-symmetric Elliptic Operators
We consider divergence form elliptic operators L = − div A(x)∇, defined in the half space Rn+1 + , n ≥ 2, where the coefficient matrix A(x) is bounded, measurable, uniformly elliptic, t-independent, and not necessarily symmetric. We establish square function/non-tangential maximal function estimates for solutions of the homogeneous equation Lu = 0, and we then combine these estimates with the m...
متن کاملL-Functions for Symmetric Products of Kloosterman Sums
The classical Kloosterman sums give rise to a Galois representation of the function field unramfied outside 0 and ∞. We study the local monodromy of this representation at ∞ using l-adic method based on the work of Deligne and Katz. As an application, we determine the degrees and the bad factors of the L-functions of the symmetric products of the above representation. Our results generalize som...
متن کاملinterpersonal function of language in subtitling
translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...
15 صفحه اولL-functions of symmetric powers of cubic exponential sums
For each positive integer k, we investigate the L-function attached to the k-th symmetric power of the F -crystal associated to the family of cubic exponential sums of x + λx where λ runs over Fp. We explore its rationality, field of definition, degree, trivial factors, functional equation, and Newton polygon. The paper is essentially self-contained, due to the remarkable and attractive nature ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2015
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2014.09.008