研究生: |
潘國隆 |
---|---|
論文名稱: |
多項式上的華林-哥德巴赫問題 ON POLYNOMIAL WARING--GOLDBACH PROBLEM |
指導教授: |
許志農
Hsu, Chih-Nung |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 1999 |
畢業學年度: | 87 |
語文別: | 英文 |
論文頁數: | 60 |
中文關鍵詞: | 圓法 、華林問題 、多項式上的華林-哥德巴赫問題 |
英文關鍵詞: | circle method, Waring problem, polynomial Waring-Goldbach problem |
論文種類: | 學術論文 |
相關次數: | 點閱:238 下載:0 |
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華林問題是去證明每一個自然數(足夠大)是一些有限範圍的正整數的d次方的和;哥德巴赫問題是去證明每一個大過3的偶數是兩個質數的和,而每一個大過5的奇數是三個質數的和。所以,華林-哥德巴赫問題是探討把自然數展開成一些有限範圍的質數的d次方(d>1)和的可能性。
本篇論文中,我們研究把有限體上的多項式展開成一些質多項式的d次方(d>1)和的問題。這個問題和古典的華林-哥德巴赫問題相似,所以我們稱之為『多項式上的華林-哥德巴赫問題』。
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