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Manickam, M.
- On Shimura Correspondence for Non-cusp forms of Half-Integral Weight
Abstract Views :162 |
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Authors
T. Jagathesan
1,
M. Manickam
1
Affiliations
1 R.K.M Vivekananda College, Chennai 600 004, IN
1 R.K.M Vivekananda College, Chennai 600 004, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 23, No 3 (2008), Pagination: 211–222Abstract
In this paper we construct a generalization of Cohen- Eisenstein series which generates the space of Eisenstein series in Kohnen plus space M+ k+1/2 (Γ0(4N)) of weight k + 1/2 on Γ0(4N) (k ≥ 2 an integer, N ≥ 1 an odd integer). Using these new Eisenstein series we extend the Shimura-Kohnen correspondence given by the maps 𝓁D, where (−1)kD >0 and D is a fundamental discriminant.- On Taylor Expansion of Jacobi Forms of Half-Integral Weight
Abstract Views :144 |
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Authors
K. Kumarasamy
1,
M. Manickam
1
Affiliations
1 R.K.M. Vivekananda College, Chennai 600 004, IN
1 R.K.M. Vivekananda College, Chennai 600 004, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 23, No 2 (2008), Pagination: 167–182Abstract
In this paper we generalize the Taylor development map for Jacobi forms of half-integral weight and obtain its adjoint map with respect to the Petersson scalar product. We observe that the study of the Taylor development in the case of half-integral weight Jacobi forms gives several interesting identities. Finally, we show how the Taylor development map occurs in a connection between theta series of degree 2 and degree 1. As a consequence, we prove that Maass space of degree 2 contains theta series if and only if k = 4 ork = 8.- On Saito-Kurokawa Correspondence of Degree Two for Arbitrary Level
Abstract Views :179 |
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Authors
Affiliations
1 Department of Mathematics, RKM Vivekananda College, Chennai-600 004, IN
2 Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad-211 019, IN
1 Department of Mathematics, RKM Vivekananda College, Chennai-600 004, IN
2 Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad-211 019, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 17, No 3 (2002), Pagination: 149–160Abstract
In this paper, we obtain the Saito-Kurokawa correspondence for Eisenstein series and cusp forms of degree two and arbitrary level.