Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Height pairings, exceptional zeros and Rubin's Formula: The
  multiplicative group   In this paper we prove a formula, much in the spirit of one due to Rubin,
which expresses the leading coefficients of various p-adic L-functions in the
presence of an exceptional zero in terms of Nekovar's p-adic height pairings on
his extended Selmer groups. In a particular case, the Rubin-style formula we
prove recovers a p-adic Kronecker limit formula. In a disjoint case, we observe
that our computations with Nekovar's heights agree with the Ferrero- Greenberg
formula (more generally, Gross' conjectural formula) for the leading
coefficient of the Kubota-Leopoldt p-adic L-function (resp., the Deligne-Ribet
p-adic L-function) at s = 0.

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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: hep-ex