Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9438
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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