Exact averages of central values of triple product L-functions

Details Exact averages of central values of triple product L-functions Exact averages of central values of triple product L-functions

2010-05-04

arxiv.org/abs/1005.0646v1

Mathematics

Number Theory

To appear in the International Journal of Number Theory

Scientific paper

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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