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Authors
Affiliations
1 Department of Mathematics, Indian Institute of science, Bangalore 560 012, IN
2 Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, IN
3 Harish-Chandra Research Institute, HBNI, Allahabad, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 34, No 2 (2019), Pagination: 245-252
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.
References
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