Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential periods and o-minimality   Let $\alpha \in \mathbb{C}$ be an exponential period. We show that the real
and imaginary part of $\alpha$ are up to signs volumes of sets definable in the
o-minimal structure generated by $\mathbb{Q}$, the real exponential function
and ${\sin}|_{[0,1]}$. This is a weaker analogue of the precise
characterisation of ordinary periods as numbers whose real and imaginary part
are up to signs volumes of $\mathbb{Q}$-semi-algebraic sets. Furthermore, we
define a notion of naive exponential periods and compare it to the existing
notions using cohomological methods. This points to a relation between the
theory of periods and o-minimal structures.

29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics