Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral construction of non-holomorphic Eisenstein-type series and
  their Kronecker limit formulas   Let $X$ be a smooth, compact, projective K\"ahler variety and $D$ be a
divisor of a holomorphic form $F$, and assume that $D$ is smooth up to
codimension two. Let $\omega$ be a K\"ahler form on $X$ and $K_{X}$ the
corresponding heat kernel which is associated to the Laplacian that acts on the
space of smooth functions on $X$. Using various integral transforms of $K_{X}$,
we will construct a meromorphic function in a complex variable $s$ whose
special value at $s=0$ is the log-norm of $F$ with respect to $\mu$. In the
case when $X$ is the quotient of a symmetric space, then the function we
construct is a generalization of the so-called elliptic Eisenstein series which
has been defined and studied for finite volume Riemann surfaces.

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The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
1
The categories of this paper are: cs