Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirichlet Series with Periodic Coefficients and their Value-Distribution
  Near the Critical Line   The class of Dirichlet series associated with a periodic arithmetical
function $f$ includes the Riemann zeta-function as well as Dirichlet
$L$-functions to residue class characters. We study the value-distribution of
these Dirichlet series $L(s;f)$, resp. their analytic continuation in the
neighborhood of the critical line (which is the abscissa of symmetry of the
related Riemann-type functional equation). In particular, for a fixed complex
number $a\neq 0$, we prove for an even or odd periodic $f$ the number of
$a$-points of the $\Delta$-factor of the functional equation, prove the
existence of the mean-value of the values of $L(s;f)$ taken at these points,
show that the ordinates of these $a$-points are uniformly distributed modulo
one and apply this to show a discrete universality theorem.

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The categories of this paper are: stat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph