A joint universality theorem for DirichletL-functions

@article{Bagchi1982AJU,
title={A joint universality theorem for DirichletL-functions},
journal={Mathematische Zeitschrift},
year={1982},
volume={181},
pages={319-334}
}
• B. Bagchi
• Published 1 September 1982
• Mathematics
• Mathematische Zeitschrift
147 Citations

Universality and distribution of zeros and poles of some zeta functions

• K. Seip
• Mathematics
Journal d'Analyse Mathématique
• 2020
This paper studies zeta functions of the form $$\sum\nolimits_{n = 1}^\infty {\chi (n){n^{- s}}}$$ ∑ n = 1 ∞ χ ( n ) n − s , with χ a completely multiplicative function taking only unimodular values.

On the Theory of Zeta-functions and L-functions

In this thesis we provide a body of knowledge that concerns Riemann zeta-function and its generalizations in a cohesive manner. In particular, we have studied and mentioned some recent results

A survey on the theory of universality for zeta and $L$-functions

We survey the results and the methods in the theory of universality for various zeta and $L$-functions, obtained in these forty years after the first discovery of the universality for the Riemann

The joint universality of twisted automorphic $L$-functions

• Mathematics
• 2004
The simultaneous universality of twisted automorphic L-functions, associated with a new form with respect to a congruence subgroup of SL(2; Z) and twisted by Dirichlet characters, is proved.

Value-distribution of the Riemann zeta-function and related functions near the critical line

We study the value-distribution of the Riemann zeta-function and related functions on and near the critical line. Amongst others, we focus on the following: The critical line is a natural boundary

On joint universality for derivatives of the Riemann zeta function and automorphic $L$-functions (Functions in Number Theory and Their Probabilistic Aspects)

In this paper we establish two results. The first result looks like a joint universality theorem for a set of derivatives of the Riemann zeta function. The second result is a joint universality

The joint universality theorem for automorphic $L$-functions (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)

is dense in the set $\mathbb{C}$ of all complex numbers. In 1975, S. M. Voronin [15] extended this denseness result to the infinite dimensional space, that is, the functional space and obtained the

Erratum to: The generalized strong recurrence for non-zero rational parameters

• Mathematics
• 2012
In the present paper, we prove that self-approximation of $${\log \zeta (s)}$$ with d = 0 is equivalent to the Riemann Hypothesis. Next, we show self-approximation of $${\log \zeta (s)}$$ with

Universality of $L$-Functions over function fields

• Mathematics
• 2018
We prove that the Dirichlet $L$-functions associated with Dirichlet characters in $\mathbb{F}_{q}[x]$ are universal. That is, given a modulus of high enough degree, $L$-functions with characters to

References

SHOWING 1-4 OF 4 REFERENCES

Recursive properties of transformation groups. II

The purpose of this note is to sharpen a previous result on the transmission of recursive properties of a transformation group to certain of its subgroups. [See Recursive properties of transformation

Uniform distribution of sequences

( 1 ) {xn}z= Xn--Z_I Zin-Ztn-I is uniformly distributed mod 1, i.e., if ( 2 ) lim (1/N)A(x, N, {xn}z)-x (0x<_ 1), where A(x, N, {Xn)) denotes the number of indices n, l<=n<=N such that {x} is less

Real and complex analysis

Preface Prologue: The Exponential Function Chapter 1: Abstract Integration Set-theoretic notations and terminology The concept of measurability Simple functions Elementary properties of measures