Modular forms of half-integral weights on SL(2,?)
Journal
Nagoya Mathematical Journal
Journal Volume
215
Journal Issue
1
Pages
1-66
Date Issued
2014
Author(s)
Abstract
Abstract In this paper, we prove that, for an integer r with ( r , 6) = 1 and 0 < r < 24 and a nonnegative even integer s , the set is isomorphic to as Hecke modules under the Shimura correspondence. Here M s (1) denotes the space of modular forms of weight is the space of newforms of weight 2 k on Γ 0 (6) that are eigenfunctions with eigenvalues € 2 and € 3 for Atkin-Lehner involutions W 2 and W 3 , respectively, and the notation ⊕(12 / .) means the twist by the quadratic character (12 / -). There is also an analogous result for the cases ( r , 6) = 3.
Type
journal article