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Sep 15, 2013 at 8:16 comment added David Loeffler I'd agree with Dan that this is essentially the same question as "do L-functions exist for half-integral weight modular forms". This was asked before, and got a very nice answer from Marty Weissman: [mathoverflow.net/questions/113811/…
Sep 15, 2013 at 1:22 comment added Dan Petersen I'm far from an expert but it seems very ambitious to ask for a motive, I don't think it's even clear what the correct notion of an attached Galois representation or $L$-function is in this context. What properties do you want from this motive? Try googling "l-function attached to modular form of half integral weight" and you'll find lots of places to start reading.
Sep 14, 2013 at 13:08 review First posts
Sep 14, 2013 at 13:09
Sep 14, 2013 at 12:49 history asked half-weight-motive CC BY-SA 3.0