文献类型：期刊文献

英文题名：SHIMURA LIFT OF RANKIN-COHEN BRACKETS OF EIGENFORMS AND THETA SERIES

作者：Wang, Wei[1]

机构：[1] Department of Mathematics, Shaoxing University, Shaoxing, 312000, China

年份：2024

外文期刊名：arXiv

收录：EI(收录号：20240281836)

语种：英文

外文关键词：Rankine cycle

外文摘要：The Shimura lift of a Hekce eigenform multiplied by a theta series is the square of the form. We extend this result by generalizing the product map to the Rankin-Cohen bracket. We prove that the Shimura lift of Rankin-Cohen bracket of an eigenform and a theta series is given by Rankin-Cohen bracket of the eigenform and itself.MSC Codes 11F32, 11F37 ? 2024, CC0.