Linear and Shalika local periods for the mirabolic group, and some consequences
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Publication:2017174
DOI10.1016/j.jnt.2013.11.012zbMath1294.22014arXiv1210.4307OpenAlexW2963136834MaRDI QIDQ2017174
Publication date: 25 June 2014
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.4307
functional equationlocal perioddistinguished representationexterior-square \(L\)-functionmirabolic group
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Cites Work
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- Square integrability of representations on \(p\)-adic symmetric spaces
- Local Shalika models and functoriality
- On the decomposition of a representation of \(GL(3)\) restricted to \(GL(2)\) over a \(p\)-adic field
- Converse theorems for \(\text{GL}_n\)
- Cuspidal representations of \(Gl(n,F)\) distinguished by a maximal Levi subgroup, with \(F\) a non-Archimedean local field
- On the local and global exterior square \(L\)-functions of \(\mathrm{GL}_n\)
- On representations of \(\mathrm{GL}(n)\) distinguished by \(\mathrm{GL}(n - 1)\) over a \(p\)-adic field
- The local exterior square \(L\)-function: holomorphy, non-vanishing and Shalika functionals
- \(H\)-invariant distribution vectors of induced representations for a \(p\)-adic reductive symmetric space \(G/H\)
- Zeta functions of simple algebras
- LOCAL NEWFORMS AND FORMAL EXTERIOR SQUARE L-FUNCTIONS
- Linear periods.
- Subrepresentation Theorem for p-adic Symmetric Spaces
- On Shalika periods and a theorem of Jacquet-Martin
- Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
- Induced representations of reductive ${\germ p}$-adic groups. I