most recent 30 from http://mathoverflow.net 2013-05-21T16:37:07Z http://mathoverflow.net/feeds/question/118639 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/118639/why-is-mathcalm-textsl-2-mathbbz-spanned-by-e-4-and-e-6 hx 2013-01-11T16:07:16Z 2013-01-11T17:27:56Z

<p>It is said that $$ \mathcal{M}(\text{SL}_2(\mathbb{Z}))=\mathbb{C}[E_4,E_6] $$</p> <p>where $\mathcal{M}(\text{SL}_2(\mathbb{Z}))$ is the graded ring of module forms over $\text{SL}_2(\mathbb{Z})$ and $E_4,E_6$ are normalized Eisenstein series.</p> <p>I'm new to modular form and not quite familiar about the Eisenstein series so I fail to prove it.</p> <p>Any one give some ideas?</p>

http://mathoverflow.net/questions/118639/why-is-mathcalm-textsl-2-mathbbz-spanned-by-e-4-and-e-6/118651#118651 Vahid Shirbisheh 2013-01-11T17:27:56Z 2013-01-11T17:27:56Z

<p>See Proposition 1.3.4 of Bump's book "Automorphic forms and representations". </p>