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Jun 25, 2013 at 3:02 review Late answers
Jun 26, 2013 at 0:05
May 11, 2010 at 4:25 comment added Haining Wang So you are probably thinking about Eisenstein series when someone mentions Modular forms but others may probably think about $\Theta$ function or $\Delta$ function. The definition of modular form sounds pretty artificial to me. No one ever told me when and why people start to study them. The question is irrelevant though.
May 11, 2010 at 2:38 comment added Qiaochu Yuan Modular forms are a little different. If you know what they are, you already know how to write a bunch of them down (at the very least, the Eisenstein series). My interpretation of the OP's question is that it applies to structures defined from a few simple axioms and properties where it's not clear how to find nontrivial examples of such things.
May 11, 2010 at 2:32 history answered Haining Wang CC BY-SA 2.5