| Special value formulae for triple product L-functions and applications | |
|---|---|
| 學年 | 106 |
| 學期 | 2 |
| 出版（發表）日期 | 2018-07-01 |
| 作品名稱 | Special value formulae for triple product L-functions and applications |
| 作品名稱（其他語言） | 三重積L-函數之特殊值公式及其應用 |
| 著者 | 鄭堯 |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | |
| 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). |
| 關鍵字 | Special value formulae;triple product L-functions;local period integrals |
| 語言 | en |
| ISBN | |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120441 ) |
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