Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Iwasawa theory for Symmetric Square of non-$p$-ordinary eigenforms   Let $f$ be a normalized cuspidal eigen-newform of level coprime to $p$ with
$a_p(f)=0$. We formulate both integral signed Iwasawa main conjectures and
analytic Iwasawa man conjectures attached to the symmetric square motive of $f$
twisted by an auxiliary Dirichlet character. We show that the Beilinson--Flach
elements attached to the symmetric square motive factorize into integral signed
Beilinson--Flach elements, giving evidence towards the existence a rank-two
Euler system predicted by Perrin-Riou. We use these integral elements to prove
one inclusion in the integral and analytic Iwasawa main conjectures.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org