Uniform Distribution modulo 1 and the Universality of Zeta-functions of Certain Cusp Forms

نویسنده

  • Antanas Laurinčikas
چکیده

An universality theorem on the approximation of analytic functions by shifts ζ(s+iτ, F ) of zeta-functions of normalized Hecke-eigen forms F , where τ takes values from the set {kαh : k = 0, 1, 2, . . . } with fixed 0 < α < 1 and h > 0, is obtained.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Joint Universality of Zeta-functions Attached to Certain Cusp Forms

The notion of the universality appears in various fields of mathematics. A general definition of the universality is given in [6]. Let X and Y be topological spaces and Tj : X → Y , j ∈ I, be continuous mappings. Then an element x ∈ X is called universal with respect to the family {Tj , j ∈ I} if the set {Tjx : j ∈ I} is dense in Y . Many universal objects of various nature are known, see an ex...

متن کامل

Announcements Projections of C ° ° Automorphic Forms

The purpose of this paper is to exhibit an explicit formula which describes the projection operator from the space of C°° automorphic forms to the subspace of holomorphic cusp forms, and to apply it to the zeta functions of Rankin type. Fix a number k > 0 such that 2k G Z. Let TV be a positive integer such that TV = 0 mod(4) if k fi Z, and let x(Z/NZ) —+ C be a Dirichlet character modulo TV. De...

متن کامل

Distribution of Integral Fourier Coefficients of a Modular Form of Half Integral Weight modulo Primes

Recently, Bruinier and Ono classified cusp forms f(z) := ∑ ∞ n=0 af (n)q n ∈ Sλ+ 1 2 (Γ0(N), χ) ∩ Z[[q]] that does not satisfy a certain distribution property for modulo odd primes p. In this paper, using Rankin-Cohen Bracket, we extend this result to modular forms of half integral weight for primes p ≥ 5. As applications of our main theorem we derive distribution properties, for modulo primes ...

متن کامل

Exp-Uniform Distribution: Properties and Characterizations

In this paper, we study properties of exp-uniform distribution and its applications. We provide closed forms for the density function and moments of order statistics and we also discuss estimation of the parameters via the maximum likelihood method. We will present certain characterizations of exp-uniform distribution. The applications of this distribution are illustrated by fitting it to three...

متن کامل

Coleman Power Series for K 2 and p - Adic Zeta Functions of Modular Forms dedicated to Professor

For a usual local field of mixed characteristic (0, p), we have the theory of Coleman power series [Co]. By applying this theory to the norm compatible system of cyclotomic elements, we obtain the p-adic Riemann zeta function of Kubota-Leopoldt [KL]. This application is very important in cyclotomic Iwasawa theory. In [Fu1], the author defined and studied Coleman power series for K2 for certain ...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016