One level density of low-lying zeros of families of L-functions
In this paper, we prove some one level density results for the low-lying zeros of families of L-...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2011
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| Online Access: | https://hdl.handle.net/10356/93902 http://hdl.handle.net/10220/7128 |
| _version_ | 1824455089255874560 |
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| author | Gao, Peng Zhao, Liangyi |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Gao, Peng Zhao, Liangyi |
| author_sort | Gao, Peng |
| collection | NTU |
| description | In this paper, we prove some one level density results for the low-lying zeros of families of L-
functions. More specifically, the families under consideration are that of L-functions of holomorphic Hecke
eigenforms of level 1 and weight k twisted with quadratic Dirichlet characters and that of cubic and quartic
Dirichlet L-functions. |
| first_indexed | 2025-02-19T03:32:40Z |
| format | Journal Article |
| id | ntu-10356/93902 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:32:40Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | ntu-10356/939022023-02-28T19:35:47Z One level density of low-lying zeros of families of L-functions Gao, Peng Zhao, Liangyi School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Number theory In this paper, we prove some one level density results for the low-lying zeros of families of L- functions. More specifically, the families under consideration are that of L-functions of holomorphic Hecke eigenforms of level 1 and weight k twisted with quadratic Dirichlet characters and that of cubic and quartic Dirichlet L-functions. Accepted version 2011-09-30T08:33:45Z 2019-12-06T18:47:26Z 2011-09-30T08:33:45Z 2019-12-06T18:47:26Z 2010 2010 Journal Article Gao, P., & Zhao, L. (2010). One Level Density of Low-lying Zeros of Families of L-functions. Compositio Mathematica, 147, 1-18. https://hdl.handle.net/10356/93902 http://hdl.handle.net/10220/7128 10.1112/S0010437X10004914 150509 en Compositio mathematica © 2010 Foundation Compositio Mathematica. This is the author created version of a work that has been peer reviewed and accepted for publication in Compositio Mathematica, published by London Mathematical Society on behalf of Foundation Compositio Mathematica. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1112/S0010437X10004914]. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Number theory Gao, Peng Zhao, Liangyi One level density of low-lying zeros of families of L-functions |
| title | One level density of low-lying zeros of families of L-functions |
| title_full | One level density of low-lying zeros of families of L-functions |
| title_fullStr | One level density of low-lying zeros of families of L-functions |
| title_full_unstemmed | One level density of low-lying zeros of families of L-functions |
| title_short | One level density of low-lying zeros of families of L-functions |
| title_sort | one level density of low lying zeros of families of l functions |
| topic | DRNTU::Science::Mathematics::Number theory |
| url | https://hdl.handle.net/10356/93902 http://hdl.handle.net/10220/7128 |
| work_keys_str_mv | AT gaopeng oneleveldensityoflowlyingzerosoffamiliesoflfunctions AT zhaoliangyi oneleveldensityoflowlyingzerosoffamiliesoflfunctions |