While reading a paper I came across the phrase "the Eisenstein series of weight 2 associated with the cusps of $\Gamma_{0}(6)$". Can anyone give me the definition of Eisenstein series of weight $k$ associated with the cusps of $\Gamma$ where $\Gamma$ is a congruence subgroup of $SL_{2}(\mathbb{Z})$?
Eisenstein series associated with the cusps of a congruence subgroup
3
$\begingroup$
number-theory
modular-forms
-
5Dear Shayla, How much do you know about modular forms and modular curves? (The answer to this will be very helpful in formulating an answer to your question.) Regards, – 2011-07-14
-
0Aside from the basic definitions related to modular forms, not very much. – 2011-07-14