Generic transfer from GSp(4) to GL(4)

2004/12/27 by Mahdi Asgari, Freydoon Shahidi, Asgari, Mahdi +1 · 1 citation
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.math/0412505

12 pages, better bounds in Cor 3.4 than originally stated

arxiv created 2005/01/03 · arxiv updated 2009/12/01

Abstract

We establish Langlands functoriality for the generic spectrum of GSp(4) and describe its transfer on GL(4). We apply this to prove results toward the generalized Ramanujan conjecture for generic representations of GSp(4).

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• Distinguishing Siegel modular forms

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• Generic Transfer for General Spin Groups
• Arthur's multiplicity formula for GSp₄ and restriction to Sp₄
• Local Whittaker-Newforms for GSp(4) matching to Langlands parameters
• Endoscopy and the Transfer from GSp(4) to GL(4)
• The local Langlands correspondence for GSp₄ over local function fields