The Real Holomorphy Ring and Sums of Powers in Rational and Elliptic Function Fields Over the Field of Real Numbers
| dc.contributor.advisor | Becker, Eberhard (PhD) | |
| dc.contributor.author | Hunde, Natea | |
| dc.date.accessioned | 2018-07-17T07:49:10Z | |
| dc.date.accessioned | 2023-11-04T12:30:40Z | |
| dc.date.available | 2018-07-17T07:49:10Z | |
| dc.date.available | 2023-11-04T12:30:40Z | |
| dc.date.issued | 2017-03 | |
| dc.description.abstract | This 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.uri | http://etd.aau.edu.et/handle/123456789/8966 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | The Real Holomorphy Ring and Sums | en_US |
| dc.title | The Real Holomorphy Ring and Sums of Powers in Rational and Elliptic Function Fields Over the Field of Real Numbers | en_US |
| dc.type | Thesis | en_US |