DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, DH | ko |
dc.contributor.author | Hahn, Sang-Geun | ko |
dc.date.accessioned | 2013-03-04T02:17:41Z | - |
dc.date.available | 2013-03-04T02:17:41Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2002-02 | - |
dc.identifier.citation | JOURNAL OF NUMBER THEORY, v.92, no.2, pp.257 - 271 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/10203/81466 | - |
dc.description.abstract | Suppose p = tn + r is a prime and splits as p(1)p(2) in Q(root-t). Let q = p(f) where f is the order of r modulo t, chi = omega((q-1)/t) where omega is the Teichmuller character on F-q, and g(chi) is the Gauss sum. For suitable tau(1) is an element of Ga1(Q(zeta(l), zeta(p))/Q) (i = 1,...,g), we show that Pi(i=1)(g) tau(l)(g(chi)) = p(alpha)((a+b root-t/2) such that 4p(h) = a(2) + tb(2) for some integers a and b where h is the class number of Q(root-t). We explicitly compute a mod (t/gcd(8, t)) and a mod p, in particular, a is congruent to a product of binomial coefficients modulo p. (C) 2002 Elsevier Science (USA). | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Gauss sums and binomial coefficients | - |
dc.type | Article | - |
dc.identifier.wosid | 000174254700002 | - |
dc.identifier.scopusid | 2-s2.0-0036119205 | - |
dc.type.rims | ART | - |
dc.citation.volume | 92 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 257 | - |
dc.citation.endingpage | 271 | - |
dc.citation.publicationname | JOURNAL OF NUMBER THEORY | - |
dc.contributor.localauthor | Hahn, Sang-Geun | - |
dc.contributor.nonIdAuthor | Lee, DH | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Gauss sum | - |
dc.subject.keywordAuthor | Eisenstein sum | - |
dc.subject.keywordAuthor | binomial coefficient | - |
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