Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $(\varphi, \Gamma)$-modules de de Rham et fonctions $L$ $p$-adiques   We develop a variant of Coleman and Perrin Riou's methods giving, for a de
Rham $p$-adic Galois representation, a construction of $p$-adic $L$ functions
from a compatible system of global elements. As a result, we construct analytic
functions on an open set of the $p$-adic weight space containing all locally
algebraic characters of large enough conductor. Applied to Kato's Euler system,
this gives $p$-adic $L$-functions for elliptic curves with additive bad
reduction and, more generally, for modular forms which are supercuspidal at
$p$. In the case of dimension $2$, we prove a functional equation for our
$p$-adic $L$-functions.

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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol