Manickam, Murugesan and Meher, Jaban and Ramakrishnan, Balakrishnan (2015) THEORY OF NEWFORMS OF HALF-INTEGRAL WEIGHT. In: PACIFIC JOURNAL OF MATHEMATICS, 274 (1). pp. 125-139.
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Official URL: http://dx.doi.org/10.2140/pjm.2015.274.125
Abstract
We set up the theory of newforms of half-integral weight on Gamma(0)(8N) and Gamma(0)(16N), where N is odd and squarefree. Further, we extend the definition of the Kohnen plus space in general for trivial character and also study the theory of newforms in the plus spaces on Gamma(0)(8N), Gamma(0)(16N), where N is odd and squarefree. Finally, we show that the Atkin-Lehner W-operator W-4 acts as the identity operator on S-2k(new)(4N), where N is odd and squarefree. This proves that S-2k(-)(4) = S-2k(4).
| Item Type: | Journal Article |
|---|---|
| Publication: | PACIFIC JOURNAL OF MATHEMATICS |
| Publisher: | PACIFIC JOURNAL MATHEMATICS |
| Additional Information: | Copy right for this article belongs to the PACIFIC JOURNAL MATHEMATICS, PO BOX 4163, BERKELEY, CA 94704-0163 USA |
| Keywords: | modular forms of half-integral weight; theory of newforms; Kohnen plus space |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 13 May 2015 07:25 |
| Last Modified: | 13 May 2015 07:25 |
| URI: | http://eprints.iisc.ac.in/id/eprint/51531 |
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