2005-11-04Buch DOI: 10.18452/2623
Resolution of degree ≤ 6 algebraic equations by genus two theta constants
 dc.contributor.author Zhivkov, Angel dc.date.accessioned 2017-06-15T17:45:41Z dc.date.available 2017-06-15T17:45:41Z dc.date.created 2005-11-04 dc.date.issued 2005-11-04 dc.identifier.issn 0863-0976 dc.identifier.uri http://edoc.hu-berlin.de/18452/3275 dc.description.abstract We adjoin complete first kind Abelian integrals of genus two to solve the general degree six algebraic equation a 0 z 6 + a 1 z 5 + ... + a 6 = 0 by genus two theta constants. Using the same formulas, later we resolve degree five, four and three algebraic equations. We study the monodromy group, which permutes the roots of degree six polynomials. eng dc.language.iso eng dc.publisher Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/ dc.subject roots of polynomials eng dc.subject theta constants eng dc.subject.ddc 510 Mathematik dc.title Resolution of degree ≤ 6 algebraic equations by genus two theta constants dc.type book dc.identifier.urn urn:nbn:de:kobv:11-10052574 dc.identifier.doi http://dx.doi.org/10.18452/2623 local.edoc.container-title Preprints aus dem Institut für Mathematik local.edoc.pages 14 local.edoc.type-name Buch local.edoc.container-type series local.edoc.container-type-name Schriftenreihe local.edoc.container-volume 2002 local.edoc.container-issue 11 local.edoc.container-year 2002 local.edoc.container-erstkatid 2075199-0