Jha, AK and Juyal, A and Pandey, MK (2019) On simultaneous non-vanishing of twisted L-functions associated to newforms on 0(N). In: Journal of the Ramanujan Mathematical Society, 34 (2). pp. 245-252.
Full text not available from this repository.Abstract
Given two normalized Hecke eigenforms f1, f2 of weight k1 and k2 respectively of squarefree level N, we consider the product of twisted L-functions associated with f1 and f2 by a quadratic charater χ, and show that if this product does not vanish at the center of the critical strip s = 1/2, then it does not vanish for infinitely many such twists. This is a generalisation of the work due to R. Munshi (J. Number Theory, 132, 666-674 [2012]) for the full modular group to the case of any congruence subgroup of squarfree level N.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of the Ramanujan Mathematical Society |
| Publisher: | Ramanujan Mathematical Society |
| Additional Information: | The copyright for this article belongs to Ramanujan Mathematical Society. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 27 Dec 2022 04:27 |
| Last Modified: | 27 Dec 2022 04:27 |
| URI: | https://eprints.iisc.ac.in/id/eprint/78547 |
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