Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The H\"older exponent of some Fourier series   In this paper we study the local regularity of fractional integrals of
Fourier series using several definitions of the H\"older exponent. We
especially consider series coming from fractional integrals of modular forms.
Our results show that in general cusp forms give rise to pure fractals (as
opposed to multifractals). We include explicit examples and computer plots.

37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex