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Article: Upper bounds on n-dimensional Kloosterman sums
| Title | Upper bounds on n-dimensional Kloosterman sums |
|---|---|
| Authors | |
| Keywords | Kloosterman sums |
| Issue Date | 2004 |
| Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnt |
| Citation | Journal of Number Theory, 2004, v. 106 n. 2, p. 259-274 How to Cite? |
| Abstract | Let pm be any prime power and Kn(a,pm) be the Kloosterman sum , where the xi are restricted to values not divisible by p. Let m,n be positive integers with m2 and suppose that pγ||(n+1). We obtain the upper bound |Kn(a,pm)|(n+1,p−1)p1/2min(γ,m−2)pmn/2, for odd p. For p=2 we obtain the same bound, with an extra factor of 2 inserted. |
| Persistent Identifier | http://hdl.handle.net/10722/48609 |
| ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.780 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Cochrane, T | en_HK |
| dc.contributor.author | Liu, MC | en_HK |
| dc.contributor.author | Zheng, Z | en_HK |
| dc.date.accessioned | 2008-05-22T04:18:52Z | - |
| dc.date.available | 2008-05-22T04:18:52Z | - |
| dc.date.issued | 2004 | en_HK |
| dc.identifier.citation | Journal of Number Theory, 2004, v. 106 n. 2, p. 259-274 | en_HK |
| dc.identifier.issn | 0022-314X | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/48609 | - |
| dc.description.abstract | Let pm be any prime power and Kn(a,pm) be the Kloosterman sum , where the xi are restricted to values not divisible by p. Let m,n be positive integers with m2 and suppose that pγ||(n+1). We obtain the upper bound |Kn(a,pm)|(n+1,p−1)p1/2min(γ,m−2)pmn/2, for odd p. For p=2 we obtain the same bound, with an extra factor of 2 inserted. | en_HK |
| dc.format.extent | 1603826 bytes | - |
| dc.format.extent | 443 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.format.mimetype | text/plain | - |
| dc.language | eng | en_HK |
| dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jnt | en_HK |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.subject | Kloosterman sums | en_HK |
| dc.title | Upper bounds on n-dimensional Kloosterman sums | en_HK |
| dc.type | Article | en_HK |
| dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-314X&volume=106&issue=2&spage=259&epage=274&date=2004&atitle=Upper+bounds+on+n-dimensional+Kloosterman+sums+ | en_HK |
| dc.identifier.email | Liu, MC: matmcliu@yahoo.com | en_HK |
| dc.description.nature | postprint | en_HK |
| dc.identifier.doi | 10.1016/j.jnt.2003.09.011 | en_HK |
| dc.identifier.scopus | eid_2-s2.0-2942562250 | - |
| dc.identifier.hkuros | 87404 | - |
| dc.identifier.isi | WOS:000221550500005 | - |
| dc.identifier.issnl | 0022-314X | - |