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Title: | Two properties of symmetric cube transfers of modular forms |
Authors: | BANERJEE, DEBARGHA Mandal, Tathagata Mondal, Sudipa Dept. of Mathematics |
Keywords: | Modular forms Galois representations Local epsilon factors Conductors 2025-MAR-WEEK4 TOC-MAR-2025 2025 |
Issue Date: | Oct-2025 |
Publisher: | Elsevier |
Citation: | Journal of Number Theory, 25, 160-195 |
Abstract: | In this article, we study two important properties of the symmetric cube transfer of the automorphic representation π associated to a modular form. We first show how the local epsilon factor at each prime changes by twisting in terms of the local Weil-Deligne representation. From this variation number, for each prime p, we classify the types of transfers of the local representations . We also compute the conductor of as it is involved in the variation number. For transfer, the most difficult prime is . |
URI: | https://doi.org/10.1016/j.jnt.2024.12.013 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9438 |
ISSN: | 0022-314X 1096-1658 |
Appears in Collections: | JOURNAL ARTICLES |
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