Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison of algorithms to calculate quadratic irregularity of prime
  numbers   In previous work, the author has extended the concept of regular and
irregular primes to the setting of arbitrary totally real number fields k_{0},
using the values of the zeta function \zeta_{k_{0}} at negative integers as our
``higher Bernoulli numbers''. In the case where k_{0} is a real quadratic
field, Siegel presented two formulas for calculating these zeta-values: one
using entirely elementary methods and one which is derived from the theory of
modular forms. (The author would like to thank Henri Cohen for suggesting an
analysis of the second formula.) We briefly discuss several algorithms based on
these formulas and compare the running time involved in using them to determine
the index of k_{0}-irregularity (more generally, ``quadratic irregularity'') of
a prime number.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an