Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional equations for regularized zeta-functions and diffusion
  processes   We discuss modifications in the integral representation of the Riemann
zeta-function that lead to generalizations of the Riemann functional equation
that preserves the symmetry $s\to (1-s)$ in the critical strip. By modifying
one integral representation of the zeta-function with a cut-off that does
exhibit the symmetry $x\mapsto 1/x$, we obtain a generalized functional
equation involving Bessel functions of second kind. Next, with another cut-off
that does exhibit the same symmetry, we obtain a generalization for the
functional equation involving only one Bessel function of second kind. Some
connection between one regularized zeta-function and the Laplace transform of
the heat kernel for the Euclidean and hyperbolic space is discussed.

8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio