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The Exponential Diophantine Equations 1+p^a+q^b+r^c=s^d
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Department of Mathematics
/81/ Master
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Author:
SUH-JI YEH
Advisor:
Hung, Yu-Ching
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Exponential Diophantine 方程式是指方程式Σ±x(i)=0，其中限制Πx(
i)為特定的質數所整除，例如1+2^a+7^b=5^c、1+2^a+2^b*7^c =7^d都是...
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Clicks: 466
Downloads: 0
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2
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Hilbert-Kunz Functions of Plane Conic And Cubic Curves
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Department of Mathematics
/90/ Master
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Author:
王志傑
Advisor:
Hung, Yu-Ching
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Let k be an algebraic closed field, is the polynomial ring, q is a power of the characteristic ...
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Clicks: 253
Downloads: 5
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3
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On Polynomial Invariants of Orthogonal Group Actions
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Department of Mathematics
/92/ Master
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Author:
Chan-Hung Tung
Advisor:
Hung, Yu-Ching
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這篇論文主要的結果是具體描述 有限體上正交群的不變子環的生成元，並且證明了該不變子環為一個 UFD 同時也是一個 complete intersection。所謂正交群是指保持二次型之所有線性變...
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Clicks: 311
Downloads: 3
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4
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THE HILBERT-KUNZ FUNCTION OF C_3-QUARTICS CURVES HAVING A ZERO OF ORDER 4.
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Department of Mathematics
/87/ Master
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Author:
CHUNG-HSIANG HUANG
Advisor:
Hung, Yu-Ching
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Let f=p_1(x,z)y^3+p_4(x,z) be a non-degenerate C_3 guartic, and p_4 have order 4 zero. Then the H...
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Clicks: 335
Downloads: 0
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5
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A Study of Ideas in Galois Theory
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Department of Mathematics
/102/ Master
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Author:
YANG, Shu-Hui
Advisor:
Hung, Yu-Ching
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In early nineteenth century, the French mathematician Galois left his extremely valuable research...
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Clicks: 265
Downloads: 16
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6
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循環群作用在有理函數體的固定體
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Department of Mathematics
/79/ Master
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Author:
Lin, Dong-Gan
Advisor:
Hung, Yu-Ching
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給定體K , 設K 的特徵數為q＞0,F K(X ,X ,……,X ) 是佈於K 的m 個變數的有理函
數體, q m。σ是F 上布於K 的自同構, 定義為σ: X ←X ←…←X ←X 。...
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Clicks: 130
Downloads: 0
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7
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On the Diophantine Equations x^2+y^2+z^2=kxyz
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Department of Mathematics
/95/ Master
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Author:
Chih-Ying Lin
Advisor:
Hung, Yu-Ching
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In this paper, we discuss the positive integers solutions of the Diophantine equations x^2+y^2+z^...
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Clicks: 158
Downloads: 8
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8
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The overrings of the f.o.p. domain
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9
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有限群作用在有理函數體的固定域的探討
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Department of Mathematics
/78/ Master
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Author:
LIN,HUI-WEN
Advisor:
Hung, Yu-Ching
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論文提要內容：（限500 字至1000）
設K 為任意體，P=K[x , x , ......x ]。令G Aut （P ）, H Aut
P=k[x , x , ......x ]
（R...
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Clicks: 213
Downloads: 0
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10
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二面體群作用在有理函數體之固定體的超越性
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Department of Mathematics
/79/ Master
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Author:
LIU,RONG-ZHEN
Advisor:
Hung, Yu-Ching
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設k 是任意體, K＝k（x ,…,X ）是n 變數的有理函數體, G 是作用在K 的k –自同
構有限群, 1961年E.Noether 提出一個問題: 是否固定體K ＝｛f K:σ(f)...
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Clicks: 133
Downloads: 0
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