Functional equations and gamma factors of local zeta functions for the metaplectic cover of \(\mathrm{SL}_2\)
DOI10.1016/J.JNT.2023.12.007arXiv2305.16537OpenAlexW4391147817MaRDI QIDQ6150378
Publication date: 6 March 2024
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.16537
Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37)
Cites Work
- Unnamed Item
- Unnamed Item
- The L and \(\gamma\) factors for generic representations of GSp(4,k)\(\times GL(2,k)\) over a local nonarchimedean field k
- Uniqueness and existence of Whittaker models for the metaplectic group
- Représentations supercuspidales du groupe metaplectique
- Zeta functions of prehomogeneous vector spaces with coefficients related to periods of automorphic forms
- On Bessel distributions for \(GL_ 2\) over a \(p\)-adic field
- On the supercuspidal representations of \(SL_ 2\) and its twofold cover. I, II
- Zeta integrals, Schwartz spaces and local functional equations
- Variations on themes of Sato: a survey
- On modular forms of half integral weight
- Bessel identities in the Waldspurger correspondence over a p- adic field
- Correspondances de Shimura et quaternions
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