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Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
1
vote
Half integral weight modular forms that reduce to a nonzero constant modulo a given prime
If such a form does exist, then its level must be a multiple of $p$.
If $f = \sum a_{n} q^{n}$ is a half-integer weight modular form with integer coefficients with $a_{i} \equiv 0 \pmod{p}$ for all $ …
7
votes
Accepted
Twisted modular forms of half-integral weight
In general, the statement is something like the following. (The following is Proposition 3.12 from Ken Ono's book "The Web of Modularity")
Suppose that $g(z) = \sum c(n) q^{n}$ is a half-integer weig …