On the length of global integrals for [InlineEquation not available: see fulltext.]

David Ginzburg

doi:10.1007/s40993-017-0075-9

On the length of global integrals for [InlineEquation not available: see fulltext.]

David Ginzburg

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we study global integrals defined on the group GL_n(A). We prove a vanishing result for certain integrals which involve Speh representations and certain Eisenstein series, and which satisfies a certain dimension equation. This is part of a general Conjecture which states that a global nonzero integral which satisfies a dimension equation involves at most three nontrivial representations.

Original language	English
Article number	11
Journal	Research in Number Theory
Volume	3
Issue number	1
DOIs	https://doi.org/10.1007/s40993-017-0075-9
State	Published - 1 Dec 2017

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s40993-017-0075-9

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abstract = "In this paper we study global integrals defined on the group GLn(A). We prove a vanishing result for certain integrals which involve Speh representations and certain Eisenstein series, and which satisfies a certain dimension equation. This is part of a general Conjecture which states that a global nonzero integral which satisfies a dimension equation involves at most three nontrivial representations.",

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AB - In this paper we study global integrals defined on the group GLn(A). We prove a vanishing result for certain integrals which involve Speh representations and certain Eisenstein series, and which satisfies a certain dimension equation. This is part of a general Conjecture which states that a global nonzero integral which satisfies a dimension equation involves at most three nontrivial representations.

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On the length of global integrals for [InlineEquation not available: see fulltext.]

Abstract

All Science Journal Classification (ASJC) codes

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