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Results tagged with half-integral-weight
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user 127239
Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
4
votes
1
answer
183
views
Necessity of conditions $N$ odd, square-free and $\chi$ quadratic in Kohnen's plus space - m...
Kohnen introduced the "plus" space as a subspace of the space of modular forms of half integral weight, first in his 1980 paper and then generalized the work in a later 1982 paper. Why is the conditio …
- 367
5
votes
1
answer
521
views
(Explicit) Basis for Kohnen's plus-space of modular forms of half integral weight
Sorry if this is trivial, but I could not find any reference.
Let $k,a,b$ be integers. The space of modular forms of integer weight $M_k(\text{SL}_2(\mathbb{Z}))$ admits a basis of the form $\{ E_4^ …
- 367