Two Identities relating Eisenstein series on classical groups

David Ginzburg; David Soudry

Two Identities relating Eisenstein series on classical groups

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arxiv 1808.01572 v2 pith:2SQYRKIU submitted 2018-08-05 math.RT

David Ginzburg , David Soudry This is my paper · ORCID

classification math.RT

keywords groupsclassicalconstructioneisensteinidentitiesidentityrelatingseries

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In this paper we introduce two general identities relating Eisenstein series on split classical groups, as well as double covers of symplectic groups. The first identity can be viewed as an extension of the doubling construction introduced in [CFGK17]. The second identity is a generalization of the descent construction studied in [GRS11].

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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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