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On the global Gan–Gross–Prasad conjecture for general spin groups

On the global Gan–Gross–Prasad conjecture for general spin groups

We formulate a global Gan-Gross-Prasad conjecture for general spin groups.That is, we formulate a conjecture on a relation between periods of certain automorphic forms on GSpin n+1 × GSpin n along the diagonal subgroup GSpin n and some L-values.To support the conjecture, we show that the conjecture holds for n …