Matches in UGent Biblio for { <https://biblio.ugent.be/publication/596644#aggregation> ?p ?o. }
Showing items 1 to 27 of
27
with 100 items per page.
- aggregation classification "A1".
- aggregation creator person.
- aggregation date "2000".
- aggregation hasFormat 596644.bibtex.
- aggregation hasFormat 596644.csv.
- aggregation hasFormat 596644.dc.
- aggregation hasFormat 596644.didl.
- aggregation hasFormat 596644.doc.
- aggregation hasFormat 596644.json.
- aggregation hasFormat 596644.mets.
- aggregation hasFormat 596644.mods.
- aggregation hasFormat 596644.rdf.
- aggregation hasFormat 596644.ris.
- aggregation hasFormat 596644.txt.
- aggregation hasFormat 596644.xls.
- aggregation hasFormat 596644.yaml.
- aggregation isPartOf urn:issn:0003-889X.
- aggregation language "eng".
- aggregation title "On the class number of the p-th cyclotomic field".
- aggregation abstract "Let h(-)(p) be the relative class number of the p-th cyclotomic field. We show that log h(-) (p) = p+3/4logp - p/2 log 2 pi + log (1 -beta) + O(log(2)(2)p), where beta denotes a Siegael zero, if such a zero exists and p = -1(mod4). Otherwise this term does not appear. Assume that D(s) is a Dirichlet series converging absolutely for Rs > 1. Then it is a usual method to estimate \D(1 + it)\ by estimating \D(s)\ trivially for CR s > 1 and the modulus of its derivative or its logarithmic derivative by analytical means. In this note we will show that this method can be iterated, thus using not only the first derivative one can hope to obtain better bounds. The improvements achieved are significant only if in the half plane Rs > substantially better estimates are available then to the left of 1, This is the case e.g. for the class number of the p-th cyclotomic field. Let k = Q(epsilon) be the p-th cyclotomic field, k(+) = k boolean AND R its maximal real subfield. Let h(p), h(+)(p) be the class number of k, k(+) respectively, h(-)(p) = h(p)\h(+) (p) the relative class number.".
- aggregation authorList BK448690.
- aggregation endPage "268".
- aggregation issue "4".
- aggregation startPage "266".
- aggregation volume "74".
- aggregation isDescribedBy 596644.
- aggregation similarTo LU-596644.