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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3337| Title: | Adic distributions attached to twisted tensor L-functions for GL2 over CM fields |
| Authors: | BALASUBRAMANYAM, BASKAR Dept. of Mathematics |
| Keywords: | Adic distributions GL2 CM fields L-functions Automorphic forms for over CM fieldsSpecial values of L-functionsTwisted tensor L-functionsp-Adic distributions 2017 |
| Issue Date: | Jul-2017 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Number Theory, 176, 13-36. |
| Abstract: | Let F be a totally real field. Let E be a quadratic extension that is totally imaginary over F. Let π be a cuspidal automorphic representation of cohomological type for over E. The properties of the twisted tensor L-function associated to π are studied in [6]. Special values of such functions are studied in [8] for and [9] for general F. Fix a prime in F. In this article we study special values of the twisted tensor L-function, , that is twisted by Hecke characters χ over F having -power conductor and . Specifically, we construct -adic distributions that interpolate these special values at certain critical points. This is proved under a certain non-vanishing hypothesis at infinity. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3337 https://doi.org/10.1016/j.jnt.2016.12.020 |
| ISSN: | 0022-314X 1096-1658 |
| Appears in Collections: | JOURNAL ARTICLES |
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