Exact averages of central values of triple product L-functions

Exact averages of central values of triple product L-functions (with Brooke Feigon)

Abstract: We obtain exact formulas for central values of triple product L-functions averaged over newforms of weight 2 and prime level. We apply these formulas to non-vanishing problems. This paper uses a period formula for the triple product L-function proved by Gross and Kudla.

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