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Doubling Constructions for Covering Groups and Tensor Product L-Functions

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arxiv 1601.08240 v1 pith:BNUDJFVZ submitted 2016-01-29 math.NT math.RT

Yuanqing Cai , Solomon Friedberg , David Ginzburg , Eyal Kaplan This is my paper · ORCID
classification math.NTmath.RT
keywords constructionscoveringdoublinggroupsl-functionsproductseriestensor
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This is a research announcement concerning a series of constructions obtained by applying the "doubling method" from the theory of automorphic forms to covering groups. Using these constructions, we obtain partial tensor product L-functions attached to generalized Shimura lifts, which may be defined in a natural way since at almost all places the representations are unramified principal series.

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  1. Tensor Product $L$-Functions On Metaplectic Covering Groups of $GL_r$

    math.RT 2019-08 conditional novelty 5.0 of 10

    Theorem 1 proves Suzuki's local integral (2) equals L(π(n) × τ(n), ns − (n−1)/2) for all r<nm, and Section 5 gives conditional global integral representations.

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