Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Holonomicity of Sequences Defined via Elementary Functions   We present a new method for proving non-holonomicity of sequences, which is
based on results about the number of zeros of elementary and of analytic
functions. Our approach is applicable to sequences that are defined as the
values of an elementary function at positive integral arguments. We generalize
several recent results; e.g., non-holonomicity of the logarithmic sequence is
extended to rational functions involving $\log n$. Moreover, we show that the
sequence that arises from evaluating the Riemann zeta function at odd integers
is not holonomic.

21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex