On spin L-functions for GSO10

David Ginzburg; Joseph Hundley

doi:10.1515/CRELLE.2007.016

On spin L-functions for GSO₁₀

David Ginzburg^*, Joseph Hundley

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

In this paper we construct a Rankin-Selberg integral which represents the Spin₁₀ × St L-function attached to the group GSO₁₀ × PGL₂. We use this integral representation to give some equivalent conditions for a generic cuspidal representation on GSO₁₀ to be a functorial lift from the group G₂ × PGL₂.

Original language	English
Pages (from-to)	183-213
Number of pages	31
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	603
DOIs	https://doi.org/10.1515/CRELLE.2007.016
State	Published - 27 Mar 2007

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10.1515/CRELLE.2007.016

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title = "On spin L-functions for GSO10",

abstract = "In this paper we construct a Rankin-Selberg integral which represents the Spin10 × St L-function attached to the group GSO10 × PGL2. We use this integral representation to give some equivalent conditions for a generic cuspidal representation on GSO10 to be a functorial lift from the group G2 × PGL2.",

author = "David Ginzburg and Joseph Hundley",

year = "2007",

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doi = "10.1515/CRELLE.2007.016",

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AU - Hundley, Joseph

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AB - In this paper we construct a Rankin-Selberg integral which represents the Spin10 × St L-function attached to the group GSO10 × PGL2. We use this integral representation to give some equivalent conditions for a generic cuspidal representation on GSO10 to be a functorial lift from the group G2 × PGL2.

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U2 - 10.1515/CRELLE.2007.016

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AN - SCOPUS:33947513850

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JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

SN - 0075-4102

IS - 603

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On spin L-functions for GSO₁₀

Abstract

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