The authors prove three families of non-tempered cases of the global Gan-Gross-Prasad conjecture by relating special periods to L-values through theta-lift genericity and Rankin-Selberg integrals.
Ginzburg , L -Functions for SO_n GL_k , Journal für die reine und angewandte Mathematik vol
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Special periods and some non-tempered cases of the Gan-Gross-Prasad conjecture
The authors prove three families of non-tempered cases of the global Gan-Gross-Prasad conjecture by relating special periods to L-values through theta-lift genericity and Rankin-Selberg integrals.