All modular forms of weight 2 can be expressed by Eisenstein series
Number Theory
2019-08-13 v1
Abstract
We show that every elliptic modular form of integral weight greater than can be expressed as linear combinations of products of at most two cusp expansions of Eisenstein series. This removes the obstruction of nonvanishing central -values present in all previous work. For weights greater than , we refine our result further, showing that linear combinations of products of exactly two cusp expansions of Eisenstein series suffice.
Keywords
Cite
@article{arxiv.1908.03616,
title = {All modular forms of weight 2 can be expressed by Eisenstein series},
author = {Martin Raum and Jiacheng Xia},
journal= {arXiv preprint arXiv:1908.03616},
year = {2019}
}