Proves asymptotic for second moment of GL(n)×GL(n+1) Rankin-Selberg L(1/2, Π⊗π) with Π varying by conductor, and infinitely many Π with simultaneous non-vanishing for two fixed π1, π2.
Theory of spherical functions on reductive a lgebraic groups over p-adic fields
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Moments of $L$-functions via a relative trace formula
Proves asymptotic for second moment of GL(n)×GL(n+1) Rankin-Selberg L(1/2, Π⊗π) with Π varying by conductor, and infinitely many Π with simultaneous non-vanishing for two fixed π1, π2.