Exact averages of central values of triple product L-functions

Brooke Feigon; David Whitehouse

doi:10.1142/S179304211000368X

Exact averages of central values of triple product L-functions

Brooke Feigon
, David Whitehouse

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

17 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1609-1624
Number of pages	16
Journal	International Journal of Number Theory
Volume	6
Issue number	7
DOIs	https://doi.org/10.1142/S179304211000368X
Publication status	Published - 2010

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Cite this

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title = "Exact averages of central values of triple product L-functions",

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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language = "English",

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AU - Whitehouse, David

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AB - 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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DO - 10.1142/S179304211000368X

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EP - 1624

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JF - International Journal of Number Theory

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