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Results tagged with half-integral-weight
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user 2481
Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
14
votes
Accepted
Why the level of a half integral weight modular form must be a multiple of 4?
The problem isn't that $S_{k + 1/2}(\Gamma_0(N))$ is zero if $4 \nmid N$; it's that the space is not defined if $4 \nmid N$.
In order to make sense of what a "half-integer weight form of level $\Gam …
- 37k
16
votes
Do L-functions exist for Half-integral weight modular forms?
You can certainly attach $L$-functions to half-integer weight eigenforms, but you don't get anything really new by doing so: they turn out be versions of $L$-functions of integer weight modular forms. …
- 37k
7
votes
Accepted
The space of lattices and modular forms of weight 1/2
You need to replace $SL_2(\mathbb{Z})$ with a discrete subgroup of $Mp_2$, and you want this subgroup not to contain the kernel of $Mp_2 \to SL_2$, since otherwise there are trivially no half-integer- …
- 37k