Rationality results for the exterior and the symmetric square L-function (with an appendix by Nadir Matringe)
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Annalen"
DOI: 10.1007/s00208-017-1590-7
Abstract: Let $$G=\mathrm{GL}_{2n}$$G=GL2n over a totally real number field F and $$n\ge 2$$n≥2. Let $$\Pi $$Π be a cuspidal automorphic representation of $$G(\mathbb {A})$$G(A), which is cohomological and a functorial lift from SO$$(2n+1)$$(2n+1). The latter condition… read more here.
Keywords: function; square function; symmetric square; rationality results ... See more keywords
Twisted symmetric square L-functions for $$\mathrm {GL}_n$$GLn and invariant trilinear forms
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DOI: 10.1007/s00209-016-1726-6
Abstract: Following the works of Bump and Ginzburg and of Takeda, we develop a theory of twisted symmetric square L-functions for $$\mathrm {GL}_n$$GLn. We characterize their pole in terms of certain trilinear period integrals, determine all… read more here.
Keywords: symmetric square; invariant trilinear; square functions; twisted symmetric ... See more keywords