Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/4664
DC Field | Value | Language |
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dc.contributor.author | Caldeira, Cristina | - |
dc.contributor.author | Silva, J. A. Dias da | - |
dc.date.accessioned | 2008-09-01T11:36:08Z | - |
dc.date.available | 2008-09-01T11:36:08Z | - |
dc.date.issued | 1998 | en_US |
dc.identifier.citation | Journal of Number Theory. 72:2 (1998) 153-173 | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/4664 | - |
dc.description.abstract | Let be an arbitrary field. Letpbe the characteristic of in case of finite characteristic and [infinity] if has characteristic 0. LetAbe a finite subset of . By [logical and]2 Awe denote the set {a+b a, b[set membership, variant]Aanda[not equal to]b}. Forc[set membership, variant][logical and]2 A, let[nu](R)cbe one-half of the cardinality of the set of pairs (a, b) satisfyinga[not equal to]banda+b=c. Denote by[mu](R)ithe cardinality of the set {c[set membership, variant][logical and]2 A [nu](R)c[greater-or-equal, slanted]i}. We prove that, fort=1, ..., [left floor]A/2[right floor], [summation operator]ti=1 [mu](R)i[greater-or-equal, slanted]t min{p, 2(A-t)-1}. For =0pandt=1 we get the Erdos-Heilbronn conjecture, first proved by J. A. Dias da Silva and Y. O. Hamidoune (Bull. London Math. Soc.26, 1994, 140-146). | en_US |
dc.description.uri | http://www.sciencedirect.com/science/article/B6WKD-45J4X77-1/1/ea7f8e39bdfe983402cedd28faf36069 | en_US |
dc.format.mimetype | aplication/PDF | en |
dc.language.iso | eng | eng |
dc.rights | openAccess | eng |
dc.title | A Pollard Type Result for Restricted Sums | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.1006/jnth.1998.2269 | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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filea5b2ab55c41e4d8087dd0ef43f345830.pdf | 323.76 kB | Adobe PDF | View/Open |
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