Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A formula for the derivative of the p-adic L-function of the symmetric
  square of a finite slope modular form   Let f be a modular form of weight k and Nebentypus $\psi$. By generalizing a
construction of Dabrowski and Delbourgo, we construct a p-adic L-function
interpolating the special values of the L-function
$L(s,\mathrm{Sym}^2(f)\otimes \xi)$, where $\xi$ is a Dirichlet character. When
s=k-1 and $\xi=\psi^{-1}$, this p-adic L-function vanishes due to the presence
of a so-called trivial zero. We give a formula for the derivative at s=k-1 of
this p-adic L-function when the form f is Steinberg at p. If the weight of f is
even, the conductor is even and squarefree, and the Nebentypus is trivial this
formula implies a conjecture of Benois.

18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: dg-ga