Special value formulae for triple product L-functions and applications

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题名:	Special value formulae for triple product L-functions and applications
其它题名:	三重積L-函數之特殊值公式及其應用
作者:	鄭堯
关键词:	Special value formulae;triple product L-functions;local period integrals
日期:	2018-07
上传时间:	2021-03-25 12:11:50 (UTC+8)
摘要:	We present explicit central value formulae for certain triple product L-functions over a totally real number field by using Ichino's formula. In particular, we carry out explicit computations for the local period integrals at the real defined in the Ichino's formula in very general settings. As applications, we first establish the rationality of the central critical values of these triple product L-functions. Base on this result, we prove the Deligne's conjecture for the central critical values of certain class of automorphic L-functions for GL(2)xGL(3).
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