Iwasawa theory for Rankin-Selberg products of p-nonordinary eigenforms
نویسندگان
چکیده
منابع مشابه
Archimedean Rankin-Selberg Integrals
The paper gives complete proofs of the properties of the RankinSelberg integrals for the group GL(n,R) and GL(n,C).
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Let $F$ be a non-Archimedean locally compact field. Let $sigma$ and $tau$ be finite-dimensional representations of the Weil-Deligne group of $F$. We give strong upper and lower bounds for the Artin and Swan exponents of $sigmaotimestau$ in terms of those of $sigma$ and $tau$. We give a different lower bound in terms of $sigmaotimeschecksigma$ and $tauotimeschecktau$. Using the Langlands...
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The notion of a tower of Rankin-Selberg integrals was introduced in [G-R]. To recall this notion, let G be a reductive group defined over a global field F . Let G denote the L group of G. Let ρ denote a finite dimensional irreducible representation of G. Given an irreducible generic cuspidal representation of G(A), we let L(π, ρ, s) denote the partial L function associated with π and ρ. Here s ...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2019
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2019.13.901