Type-I contributions to the one and two level densities of quadratic Dirichlet L–functions over function fields

نویسندگان

چکیده

Using the Ratios Conjecture, we write down precise formulas with lower order terms for one and two level densities of zeros quadratic Dirichlet L–functions over function fields. We denote various arising as Type-0, Type-I Type-II contributions. When support Fourier transform test is sufficiently restricted, rigorously compute Type-0 confirm that they match conjectured answer. restrictions on are relaxed, our results suggest contributions become important in density.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

a synchronic and diachronic approach to the change route of address terms in the two recent centuries of persian language

terms of address as an important linguistics items provide valuable information about the interlocutors, their relationship and their circumstances. this study was done to investigate the change route of persian address terms in the two recent centuries including three historical periods of qajar, pahlavi and after the islamic revolution. data were extracted from a corpus consisting 24 novels w...

15 صفحه اول

Multiple Dirichlet Series over Rational Function Fields

We explicitly compute some double Dirichlet series constructed from n order Gauss sums over rational function fields. These turn out to be rational functions in q−s1 and q−s2 , where q is the size of the constant field. Key use is made of the group of 6 functional equations satisfied by these series.

متن کامل

Double Dirichlet Series over Function Fields

We construct a nite-dimensional vector space of functions of two complex variables attached to a smooth algebraic curve C over a nite eld Fq , q odd, and a level. These functions collect the analytic information about the cohomology of the curve and its quadratic twists that is encoded in the corresponding L-functions; they are double Dirichlet series in two independent complex variables s;w. W...

متن کامل

Quadratic Forms over Fields I: Foundations

1. Four equivalent definitions of a quadratic form 2 2. Action of Mn(K) on n-ary quadratic forms 4 3. The category of quadratic spaces 7 4. Orthogonality in quadratic spaces 9 5. Diagonalizability of Quadratic Forms 11 6. Isotropic and hyperbolic spaces 13 7. Witt’s theorems: statements and consequences 15 8. Orthogonal groups, reflections and the proof of Witt Cancellation 17 8.1. The orthogon...

متن کامل

ذخیره 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: 2021

ISSN: ['0022-314X', '1096-1658']

DOI: https://doi.org/10.1016/j.jnt.2020.10.021