Around Pelikan's conjecture on very odd sequences

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dc.creatorMoree, Pieter
dc.creatorSole, Patrick
dc.date2004-07-06
dc.date2005-03-22
dc.date.accessioned2026-07-07T05:09:59Z
dc.date.available2026-07-07T05:09:59Z
dc.descriptionVery odd sequences were introduced in 1973 by J. Pelikan who conjectured that there were none of length >=5. This conjecture was disproved by MacWilliams and Odlyzko in 1977 who proved there are in fact many very odd sequences. We give connections of these sequences with duadic codes, cyclic difference sets, levels (Stufen) of cyclotomic fields, and derive some new asymptotic results on their lengths and on S(n), which denotes the number of very odd sequences of length n.
dc.description21 pages, two tables. Revised version with improved presentation and correction of some typos and minor errors that will appear in Manuscripta Mathematica
dc.identifierhttps://arxiv.org/abs/math/0407084
dc.identifierhttp://arxiv.org/abs/math/0407084
dc.identifierManuscripta Mathematica 117 (2005), 219-238
dc.identifierdoi:10.1007/s00229-005-0554-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71789
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11N64; 94B15; 11N37
dc.titleAround Pelikan's conjecture on very odd sequences
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