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2005-11-04Buch DOI: 10.18452/2623
Resolution of degree ≤ 6 algebraic equations by genus two theta constants
dc.contributor.authorZhivkov, Angel
dc.date.accessioned2017-06-15T17:45:41Z
dc.date.available2017-06-15T17:45:41Z
dc.date.created2005-11-04
dc.date.issued2005-11-04
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3275
dc.description.abstractWe 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.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectroots of polynomialseng
dc.subjecttheta constantseng
dc.subject.ddc510 Mathematik
dc.titleResolution of degree ≤ 6 algebraic equations by genus two theta constants
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10052574
dc.identifier.doihttp://dx.doi.org/10.18452/2623
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages14
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2002
local.edoc.container-issue11
local.edoc.container-year2002
local.edoc.container-erstkatid2075199-0

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