Das, S and Pal, R (2019) The first negative eigenvalue of Yoshida lifts. In: Research in Number Theory, 5 (3).
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Official URL: https://doi.org/10.1007/s40993-019-0158-x
Abstract
We prove that for any given ϵ> 0 , the first negative eigenvalue of the Yoshida lift F of a pair of elliptic cusp forms f, g having square-free levels (where g has weight 2 and satisfies (logQg)2≪logQf), occurs before cϵ·QF1/2-2θ+ϵ; where QF, Qf, Qg are the analytic conductors of F, f, g respectively, θ< 1 / 4 , and cϵ is a constant depending only on ϵ.
| Item Type: | Journal Article |
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| Publication: | Research in Number Theory |
| Publisher: | SpringerOpen |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Eigenvalues; Sign changes; Yoshida lifts |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 13 Oct 2022 05:38 |
| Last Modified: | 13 Oct 2022 05:38 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77369 |
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