共查询到20条相似文献,搜索用时 0 毫秒
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(7):851-856
In this Note we study the Hilbert scheme of space curves of degree d and genus (d − 3)(d − 4)/2. 相似文献
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《数学的实践与认识》2020,(18)
设1n∈N*,运用Pell方程的一些结果以及代数数论和p-adic分析方法证明了不定方程y(y+1)(y+2)(y+3)=4n~2x(x+1)(+2)(x+3)(x,y∈N*)除开n=1189时仅有一组解(x,y)=(33,1680)外,无其他解. 相似文献
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谢耀兵 《数学的实践与认识》2022,(5):246-249
运用pell方程、递归序列、二次平方剩余的方法,并使用数学软件Mathematica的计算,求出了丢番图方程5x(x+1)(x+2)(x+3)=9y(y+1)(y+2)(y+3)的所有20组整数解,其中只有一组正整数解为(x,y)=(6,5). 相似文献
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张芊 《数学的实践与认识》2023,(3):284-290
先后运用了pell方程、勒让德符号,同余关系,递归序列、二次平方剩余,分类讨论的有关方法,并通过使用数学软件Mathematica进行计算,证明了以下结论:不定方程x(x+1)(x+2)(x+3)=27y(y+1)(y+2)(y+3)没有正整数解,并找出了该方程的全部16组整数解. 相似文献
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Djagwa Dehainsala 《Comptes Rendus Mathematique》2009,347(23-24):1419-1422
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Let n be a positive odd integer. In this paper, combining some properties of quadratic and quartic diophantine equations with elementary analysis, we prove that if n > 1 and both 6n 2 ? 1 and 12n 2 + 1 are odd primes, then the general elliptic curve y 2 = x 3+(36n 2?9)x?2(36n 2?5) has only the integral point (x, y) = (2, 0). By this result we can get that the above elliptic curve has only the trivial integral point for n = 3, 13, 17 etc. Thus it can be seen that the elliptic curve y 2 = x 3 + 27x ? 62 really is an unusual elliptic curve which has large integral points. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1998,326(7):793-798
We give a characterization of those solutions F of the Hua system of differential equations HDF(Z) = − (λ2 + 4)F(Z) · I, that are Poisson-Shilov integrals of L2-functions on the Shilov boundary of the rank two matrix ball. 相似文献
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