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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3112| Title: | Pair correlation statistics for Sato-Tate sequences |
| Authors: | BALASUBRAMANYAM, BASKAR SINHA, KANEENIKA Dept. of Mathematics |
| Keywords: | Pair correlation Sato-Tate distribution Eichler-Selberg trace formula TOC-JUN-2019 2019 |
| Issue Date: | Sep-2019 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Number Theory, 202, 107-140. |
| Abstract: | We investigate the pair correlation statistics for sequences arising from Hecke eigenvalues with respect to spaces of primitive modular cusp forms. We derive the average pair correlation function for Hecke angles lying in small subintervals of . The averaging is done over non-CM newforms of weight k with respect to . We also derive similar statistics for Hilbert modular forms and modular forms on hyperbolic 3-spaces. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3112 https://doi.org/10.1016/j.jnt.2019.01.015 |
| ISSN: | 0022-314X 1096-1658 |
| Appears in Collections: | JOURNAL ARTICLES |
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