The Real Holomorphy Ring and Sums of Powers in Rational and Elliptic Function Fields Over the Field of Real Numbers

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dc.contributor.advisorBecker, Eberhard (PhD)
dc.contributor.authorHunde, Natea
dc.date.accessioned2018-07-17T07:49:10Z
dc.date.accessioned2023-11-04T12:30:40Z
dc.date.available2018-07-17T07:49:10Z
dc.date.available2023-11-04T12:30:40Z
dc.date.issued2017-03
dc.description.abstractThis thesis is devoted to a study of real holomorphy rings in R(x) and elliptic function _elds R(x)(p f(x)); f is a monic polynomial of degree 3 with no multiple roots in C over R and sums of powers in R(x). The objects of study are real valuation rings, real holomorphy rings and real places in the rational function _elds R(x) and then investigate their extension to elliptic function _elds which are quadratic extension of R(x). We write down the full list of real valuation rings to give the description of holomorphy ring in both _elds and _nally we study applications to sums of powers.en_US
dc.identifier.urihttp://etd.aau.edu.et/handle/123456789/8966
dc.language.isoenen_US
dc.publisherAddis Ababa Universityen_US
dc.subjectThe Real Holomorphy Ring and Sumsen_US
dc.titleThe Real Holomorphy Ring and Sums of Powers in Rational and Elliptic Function Fields Over the Field of Real Numbersen_US
dc.typeThesisen_US

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