학술논문

Rankin–Cohen brackets of vector valued Eisenstein series
Document Type
Original Paper
Author
Source
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 62(4):1145-1165
Subject
Eisenstein series
Rankin–Cohen bracket
Vector valued modular forms
11F11
11F67
Language
English
ISSN
1382-4090
1572-9303
Abstract
We prove that the Rankin–Cohen brackets of two vector valued Eisentein series span the whole space of cuspforms as a Hecke module. This is an extension of Westerholt–Raum’s work that products of two vector valued Eisenstein series span the whole space of cuspforms as a Hecke module.