Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On zeroes and poles of Helson zeta functions   We show that the analytic continuations of Helson zeta functions $ \zeta_\chi
(s)= \sum_1^{\infty}\chi(n)n^{-s} $ can have essentially arbitrary poles and
zeroes in the strip $ 21/40 < \Re s < 1 $ (unconditionally), and in the whole
critical strip $ 1/2 < \Re s <1 $ under Riemann Hypothesis.

27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
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The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn