^{1}School of Mathematics, Tata Institute of Fundamental Research, Colaba, Mumbai 400005, India

^{2}Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 S. Morgan St, Chicago, IL 60607, USA

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2011, Issue 655, Pages 189–243, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle.2011.045, March 2011

## Abstract

Methods of theta correspondence are used to analyze local and global Bessel models for GSp_{4} proving a conjecture of Gross and Prasad which describes these models in terms of local epsilon factors in the local case, and the non-vanishing of central critical *L*-value in the global case.

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