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      A conjecture on Whittaker-Fourier coefficients of cusp forms

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          Abstract

          We formulate an analogue of the Ichino-Ikeda conjectures for the Whittaker-Fourier coefficients of automorphic forms on quasi-split reductive groups. This sharpens the conjectures of Sakellaridis-Venkatesh in the case at hand.

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          Rational conjugacy classes in reductive groups

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            On the Periods of Automorphic Forms on Special Orthogonal Groups and the Gross–Prasad Conjecture

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              Functoriality for the classical groups

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                Author and article information

                Journal
                12 September 2013
                2013-10-17
                Article
                10.1016/j.jnt.2013.10.003
                1309.3190
                f7aa40e1-adc4-409d-8907-c7a3231ff9f1

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Journal of Number Theory 146 (2015) 448-505
                Fixed small inaccuracies from prior version
                math.NT math.RT

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