Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaluation and regularization of generalized Eisenstein series and
  application to 2D cylindrical harmonic sums   In the study of periodic media, conditionally convergent series are
frequently encountered and their regularization is crucial for applications. We
derive an identity that regularizes two-dimensional generalized Eisenstein
series for all Bravais lattices, yielding physically meaningful values. We also
obtain explicit forms for the generalized series in terms of conventional
Eisenstein series, enabling their closed-form evaluation for important high
symmetry lattices. Results are then used to obtain representations for the
related cylindrical harmonic sums, which are also given for all Bravais
lattices. Finally, we treat displaced lattices of high symmetry, expressing
them in terms of origin-centered lattices via geometric multi-set identities.
These identities apply to all classes of two-dimensional sums, allowing sums to
be evaluated over each constituent of a unit cell that possesses multiple
inclusions.

26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat