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一个丢番图方程有解的充要条件及解法
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作者 张洋兴 《山西大同大学学报(自然科学版)》 1999年第3期44-45,共2页
本文利用高斯整数及高斯素数的分解定理,给出丢番图方程x2+y2=n有解的充要条件.并在有解时给出一个解法.
关键词 高斯整数 高斯素数
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Transformation Pathway of Carbonate Pedofeatures Based on Their Micromorhology and Carbon Isotope Data in the Northern Caucasus Region,Russia
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作者 Khokhlova O.S. Kouznetsova A.M. Khokhlov A. A. 《Journal of Mountain Science》 SCIE CSCD 2009年第2期139-146,共8页
Carbonate pedofeatures (CPs) in a chronosequence of paleosols buried under kurgans in the Northern Caucasus region of Russia in a period from the end of the 4th to the middle of the 5th centuries AD (It seams that the... Carbonate pedofeatures (CPs) in a chronosequence of paleosols buried under kurgans in the Northern Caucasus region of Russia in a period from the end of the 4th to the middle of the 5th centuries AD (It seams that there is no time left) were studied by using a set of morphological and isotopic methods. The CPs in chernozem-type soils of Russia are usually represented by crystallomorphic calcite whereas the non-segregated carbonates occurred at the same horizons-by collomorphic one. Those two morphotypes of calcite have the differences in elemental composition and isotopic composition of carbon and, hence, should have different origins-from true and colloidal solutions, respectively. The same differences including radiocarbon age have been revealed for pseudomycelium of the ABca horizon of the youngest paleosols as compared with the same CPs of other paleosols in the chronosequence studied. Our assumption is that it was succeeded in finding that the pseudomycelium right away after its precipitation from a colloidal solution migrated from the lower soil horizons to the surface horizons during the periods of climatic aridization. After a short time interval (not more than 25-50 years) collomorphic calcite in the pseudomicelium of the yongest paleosols mentioned above will likely become by "usual" acicular calcite. 展开更多
关键词 Carbonate pedofeature CHERNOZEMS kurgans holocene paleosol set of morphological andisotopic method
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Cyclotomic problem, Gauss sums and Legendre curve
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作者 XIA LingLi YANG Jing 《Science China Mathematics》 SCIE 2013年第7期1485-1508,共24页
In this paper, explicit determination of the cyclotomic numbers of order l and 2l, for odd prime l ≡ 3 (mod 4), over finite field Fq in the index 2 case are obtained, utilizing the explicit formulas on the correspond... In this paper, explicit determination of the cyclotomic numbers of order l and 2l, for odd prime l ≡ 3 (mod 4), over finite field Fq in the index 2 case are obtained, utilizing the explicit formulas on the corresponding Gauss sums. The main results in this paper are related with the number of rational points of certain elliptic curve, called "Legendre curve", and the properties and value distribution of such number are also presented. 展开更多
关键词 cyclotomic number cyclotomic problem Gauss sums Jacobi sums Legendre curve
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