On mean values of Dirichlet polynomials with real characters

نویسندگان

چکیده

برای دانلود رایگان 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

On Mean Values of Dirichlet Polynomials

We show the following general lower bound valid for any positive integer q, and arbitrary reals φ1, . . . , φN and non-negative reals a1, . . . , aN , cq ( N ∑ n=1 a 2 n )q ≤ 1 2T ∫

متن کامل

On the Mean Values of Dirichlet L-functions

Abstract. We study the 2k-th power moment of Dirichlet L-functions L(s, χ) at the centre of the critical strip (s = 1/2), where the average is over all primitive characters χ (mod q). We extend to this case the hybrid Euler-Hadamard product results of Gonek, Hughes and Keating for the Riemann zeta-function. This allows us to recover conjectures for the moments based on random matrix models, inc...

متن کامل

Mean Values with Cubic Characters Stephan Baier and Matthew

We investigate various mean value problems involving order three primitive Dirichlet characters. In particular, we obtain an asymptotic formula for the first moment of central values of the Dirichlet L-functions associated to this family, with a power savings in the error term. We also obtain a large-sieve type result for order three (and six) Dirichlet characters.

متن کامل

A Note on Dirichlet Characters

Denoting by r(k, m, p) the first occurrence of m consecutive fcth power residues of a prime p = 1 (mod k), we show that r(k, m, p) > c log p for infinitely many p (c is an absolute constant) provided that k is even and m ä 3.

متن کامل

Some Results on the Field of Values of Matrix Polynomials

In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied.  Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of ...

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: Acta Arithmetica

سال: 1975

ISSN: 0065-1036,1730-6264

DOI: 10.4064/aa-27-1-191-198