Mixed cyclotomy, prime-power circulants, and cyclotomy modulo p = ef+1 for composite e
dc.contributor.author | Storer, Thomas | en_US |
dc.date.accessioned | 2006-04-17T15:18:37Z | |
dc.date.available | 2006-04-17T15:18:37Z | |
dc.date.issued | 1969-07 | en_US |
dc.identifier.citation | Storer, Thomas (1969/07)."Mixed cyclotomy, prime-power circulants, and cyclotomy modulo p = ef+1 for composite e." Journal of Number Theory 1(3): 280-290. <http://hdl.handle.net/2027.42/32938> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6WKD-4CTNCFV-HG/2/90b3baa68c7d3a8df202b56d36fc8eeb | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/32938 | |
dc.description.abstract | An explicit formula for the cyclotomic numbers modulo prime p [equiv] 1 (mod ee') is given in terms of the cyclotomic numbers for p, e and p, e', and the mixed cyclotomic numbers p,(e', e) when g.c.d. (e, e') = 1. The derivation of this formula depends upon the invertibility of the circulant coefficient matrix of a system of linear equations involving the respective periods; the determinant of this matrix is shown to be, in fact, a power of p. | en_US |
dc.format.extent | 413571 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Mixed cyclotomy, prime-power circulants, and cyclotomy modulo p = ef+1 for composite e | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48104, USA | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/32938/1/0000321.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0022-314X(69)90046-8 | en_US |
dc.identifier.source | Journal of Number Theory | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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