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- Publisher Website: 10.1093/imrn/rnaf229
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Article: Equidistribution of Kloosterman Sums Over Function Fields
| Title | Equidistribution of Kloosterman Sums Over Function Fields |
|---|---|
| Authors | |
| Issue Date | 30-Jul-2025 |
| Publisher | Oxford University Press |
| Citation | International Mathematics Research Notices, 2025, v. 2025, n. 15 How to Cite? |
| Abstract | We prove the Sato–Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals. A joint Sato–Tate distribution of finitely many Kloosterman sums is also proved. The arguments in this paper also apply to local systems with SL(2) monodromy and suitable ramification restrictions. |
| Persistent Identifier | http://hdl.handle.net/10722/358764 |
| ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 1.337 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Fu, Lei | - |
| dc.contributor.author | Lau, Yuk-Kam | - |
| dc.contributor.author | Li, Winnie Wen-Ching | - |
| dc.contributor.author | Xi, Ping | - |
| dc.date.accessioned | 2025-08-13T07:47:53Z | - |
| dc.date.available | 2025-08-13T07:47:53Z | - |
| dc.date.issued | 2025-07-30 | - |
| dc.identifier.citation | International Mathematics Research Notices, 2025, v. 2025, n. 15 | - |
| dc.identifier.issn | 1073-7928 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/358764 | - |
| dc.description.abstract | <p>We prove the Sato–Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals. A joint Sato–Tate distribution of finitely many Kloosterman sums is also proved. The arguments in this paper also apply to local systems with SL(2) monodromy and suitable ramification restrictions.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Oxford University Press | - |
| dc.relation.ispartof | International Mathematics Research Notices | - |
| dc.title | Equidistribution of Kloosterman Sums Over Function Fields | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1093/imrn/rnaf229 | - |
| dc.identifier.scopus | eid_2-s2.0-105011968705 | - |
| dc.identifier.volume | 2025 | - |
| dc.identifier.issue | 15 | - |
| dc.identifier.eissn | 1687-0247 | - |
| dc.identifier.issnl | 1073-7928 | - |