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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 $ …
Jeremy Rouse's user avatar
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7 votes
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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 …
Jeremy Rouse's user avatar
  • 20.4k