Special value formula for the twisted triple product and applications
Cheng, Yao
arXiv, 1810.13070 / Harvested from arXiv
Text on arXiv
We establish explicit Ichino's formulae for the central values of the triple product $L$-functions with emphasis on the calculations for the real place. The key ingredient for our computations is Proposition 4.5 for the real place which is the main novelty of this article. As an application we prove the optimal upper bound of a sum of restricted $2$-norms of the $L^2$-normalized newforms on certain quadratic extensions with prime level and bounded spectral parameter following the methods of Blomer (2013).
Publié le : 2018-10-30
Classification:  Mathematics - Number Theory 
@article{1810.13070,
     author = {Cheng, Yao},
     title = {Special value formula for the twisted triple product and applications},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1810.13070}
}

Cheng, Yao. Special value formula for the twisted triple product and applications. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1810.13070/