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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4061| Title: | On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy |
| Authors: | Gonzalez, Oscar E. WONG, TIAN AN et al. Dept. of Mathematics |
| Keywords: | Beyond Endoscopy Orbital integrals Approximate functional equation 2018 |
| Issue Date: | Feb-2018 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Number Theory, 183, 407-427. |
| Abstract: | ecent work of Altuğ continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for GL(2) by removing the contribution of the trivial representation by a Poisson summation formula. We show that Altuğ's method of smoothing real elliptic orbital integrals by an approximate functional equation extends to GL(n). We also discuss the case of an arbitrary reductive group, and remaining obstructions for applying Poisson summation. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4061 https://doi.org/10.1016/j.jnt.2017.08.004 |
| ISSN: | 0022-314X 1096-1658 |
| Appears in Collections: | JOURNAL ARTICLES |
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