On the theory of newforms of half-integral weight
- Manickam, M
- Ramakrishnan, B
- Vasudevan, T.C
Publication date
February 1990
DOI Publisher
Published by Elsevier Inc. ISSN
0022-314XAbstract
AbstractIn this paper we will study the theory of newforms in Sk + 12(Γ0(4M),χ1), for M an odd squarefree natural number, χ1 = (4ε·)χ, where χ is a quadratic character modulo M with χ(−1) = ε, parallel to the Atkin-Lehner theory of newforms in S2k(2M) and prove that these two spaces are isomorphic under certain linear combinations of Shimura liftings, commuting with the action of Hecke operators
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