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arxiv: 1005.0646 · v1 · submitted 2010-05-04 · 🧮 math.NT

Exact averages of central values of triple product L-functions

classification 🧮 math.NT
keywords producttriplecentralexactformulasl-functionsvaluesapply
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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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