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]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China

年份：2025

外文期刊名：ACTA ARITHMETICA

收录：SCI-EXPANDED(收录号：WOS:001552569800001)、、WOS

语种：英文

外文关键词：Shimura lift; Rankin-Cohen bracket; theta series

外文摘要：The Shimura lift of a Hecke 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 the Rankin-Cohen bracket of an eigenform and a theta series is given by the Rankin-Cohen bracket of the eigenform and itself.