1) primitive divisor
本原素除子
1.
By applying the deep theorem of Bilu,Hanrot and Voutier about the existence of primitive divisors of Lucas numbers,we prove that the exponential diophantine equation x2+3m=yn has only positive integer solution(x,y,m,n)=(46,13,4,3) with n>2 and gcd=(x,y)=1.
利用Bilu,Hanrot和Voutier关于Lucas数本原素除子存在性的深刻结果,证明了指数丢番图方程x2+3m=yn仅有正整数解(x,y,m,n)=(46,13,4,3)适合n>2且gcd(x,y)=1。
2.
This thesis is to study the integer solutions and the number of theinteger solutions of some exponential diophantine equations by applyingthe deep theorem of Bilu, Hanrot and Voutier about the existence ofprimitive divisors of Lucas and Lehmer numbers, some fine results on therepresentation of the solutions of quadratic Diophantine equations and theclass number of quadratic field.
Voutier关于Lucas数和Lehmer数的本原素除子的存在性的深刻理论、二次丢番图方程解的表示以及二次域类数等方面的精细结果研究一些指数丢番图方程的整数解和解数。
3.
We apply a deep result of Bilu,Hanrot and Voutier on primitive divisors to show that if the class number of quadratic field Q((-b)~(1/2))is a power of 2,then,the Diophantine equation x~2 + b~y=c~z has only the positive integes solution (x,y,z)=(a,2,5)with min(x,y,z)>1.
利用Bilu,Hanrot and Voutiers关于本原素除子的深刻结果证明了:如果二次数域Q((-b)~(1/2))的类数是2的方幂,则丢番图方程x~2+b~y=c~z仅有正整数解(z,y,z)=(a,2,5)适合min(x,y,z)>1。
2) privitive divisor
本原素因子
1.
In this paper,we firstly modified the mistake in reference of Bennett,then using Strmer s theorem of the solutions of Pell equation,and a deep result of privitive divisor of Bilu,Hanrot and Voutier,we proved that there is no exist four distinct triangular numbers in geometric progression,therefore we sovled the question of Sierpinski on triangular numbers.
基于三角数问题的研究目前非常活跃,最近,Bennett宣布解决了由Sierpinski提出的一个三角数猜想问题,本文指出了Bennett文中的错误,并利用Pell方程解的性质的St rmer定理以及Bilu,Hanrot和Voutier的关于本原素因子的深刻结论,证明了在一列几何级数中,不存在4个相异的三角数,完整地解决了Sierpinski的问题。
3) prime null divisor
素零除子
4) prime polar divisor
素极除子
5) protolignin
[prəutə'liɡnin]
原本木素
1.
The isolated lignin (MWL) and protolignin of Eucalyptus Leichow No.
本研究用付立叶变换红外光谱法分析了桉木分离木素和桉木原本木素，并对两者进行了比较。
6) primitive element
本原元素
补充资料：只除
1.犹除非。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条