Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Riemann hypotheses: sufficient and equivalent criteria   This paper presents new sufficient and equivalent conditions for the
generalized version of the Riemann Hypothesis. The paper derives also
statements and remarks concerning zero-free regions, modified Hadamard-product
formulas and the behaviour of $|\frac{L(\bar{\chi},s)}{L(\chi,1-s)}|$.

20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess