理學院: 數學研究所指導教授: 陳其誠朱建鑫Jhu, Jian-SinJian-SinJhu2017-03-062018-06-282017-03-062018-06-282016http://ntur.lib.ntu.edu.tw//handle/246246/276908這篇文章中，我們研究 Manjul Bhargava 與 Jonathan Hanke 的 290 定理。主要是透過分類一些被稱作上升子的特殊基本二次形，建立起決定任一正定整係數二次形是否為宇態二次形的準則。In this thesis, we study the 290-theorem of Manjul Bhargava and Jonathan Hanke. Via the classification of certain basic quadratic forms called escalators, we can establish an efficient criterion to determine whether a positive integral quadratic form is universal.537911 bytesapplication/pdf論文公開時間: 2016/7/6論文使用權限: 同意無償授權二次形整係數表現quadratic formsintegral-coefficientrepresentation論290-定理On the 290-theoremthesis10.6342/NTU201600288http://ntur.lib.ntu.edu.tw/bitstream/246246/276908/1/ntu-105-R03221005-1.pdf