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.
Kaplan, On the Local Theory of Rankin-Selberg Convolutions for SO_ 2l GL_n , https://arxiv.org/abs/1506.05773 [arXiv:1506.05773]
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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.