DIOPHANTINE

作品数：69被引量：54H指数：3
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相关领域：理学自动化与计算机技术更多>>
相关作者：乐茂华邓自立石莹徐广善蔡迎春更多>>
相关机构：湛江师范学院黑龙江大学山东师范大学华中科技大学更多>>
相关期刊：《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《哈尔滨师范大学自然科学学报》《Science Bulletin》更多>>
相关基金：国家自然科学基金广东省自然科学基金黑龙江省自然科学基金广东省教育厅自然科学基金更多>>
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  • 期刊=Acta Mathematica Sinica,English Seriesx
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A Complete Diophantine Characterization of the Rational Torsion of an Elliptic Curve
《Acta Mathematica Sinica,English Series》2012年第1期83-96,共14页Irene GARCíA-SELFA Jos M.TORNERO 
Supported by MTM2007-66929 (Ministerio de Educación y Ciencia,Spain);FQM-218;P08-FQM-03894 (Juntade Andalucía,Spain);FSE (Fondo Social Europeo);FEDER (Fondos Europeos de Desarrollo Regional)
We give a complete characterization for the rational torsion of an elliptic curve in terms of the （non-）existence of integral solutions of a system of diophantine equations.
关键词：Elliptic curves diophantine equations 
Proportionally Modular Diophantine Inequalities and Their Multiplicity
《Acta Mathematica Sinica,English Series》2010年第11期2059-2070,共12页José Carlos ROSALES Manuel Batista BRANCO Paulo VASCO 
supported by the project MTM2004-01446 and FEDER funds;supported by the Luso-Espanhola action HP2004-0056
Let I be an interval of positive rational numbers. Then the set S （I） = T ∩ N, where T is the submonoid of （Q0＋, ＋） generated by T, is a numerical semigroup. These numerical semigroups are called proportionally...
关键词：Numerical semigroup Diophantine inequality MULTIPLICITY Frobenius number 
On Some Diophantine Fourier Series
《Acta Mathematica Sinica,English Series》2010年第6期1125-1132,共8页Hal Long LI Jing MA Wen Peng ZHANG 
supported in part by NFSC Grant for Fundamental Research (No. 10671155);NSF of Shaanxi Province (No. SJ08A22); supported in part by NNSF of China (Grant No.10726051)
We continue our study on arithmetical Fourier series by considering two Fourier series which are related to Diophantine analysis. The first one was studied by Hardy and Littlewood in connection with the classification...
关键词：DIOPHANTINE Fourier series Diophantine Dirichlet series Riesz sum 
On the Diophantine System a^2+b^2=c^3 and a^x+b^y=c^z for b is an Odd Prime被引量：3
《Acta Mathematica Sinica,English Series》2008年第6期917-924,共8页Mao Hua LE 
the National Natural Science Foundation of China (No.10271104);the Guangdong Provincial Natural Science Foundation (No.04011425)
Let a, b and c be fixed coprime positive integers. In this paper we prove that if a^2 ＋ b^2 = c^3 and b is an odd prime, then the equation a^x ＋ b^y = c^z has only the positive integer solution （x, y, z） = （2,2,3）.
关键词：exponential diophantine equation positive integer solution generalized Fermat conjecture 
Cubic Diophantine Inequalities
《Acta Mathematica Sinica,English Series》2001年第1期153-160,共8页Hong Ze LI 
Project supported by the National Natural Science Foundation of China (Grant No. 19671051)
Let λ1, λ2,...,λ7 be real numbers satisfying λi≥1. In this paper, we prove there are integers x1,...,x7 such that the inequalities |λ1...
关键词：Diophantine inequality Cubic equation Non-trivial solution 
The Solubility of Certain Diophantine Inequalities被引量：1
《Acta Mathematica Sinica,English Series》1995年第2期137-145,共9页Li Hongze Department of Mathematics Shandong University Ji’nan, 250100 China 
Supported by the National Natural Science Foundation of China
Let λ1, λ2,…,λs be s non-zero real numbers not all of the same sign and not all in rational ratio, and k be a natural number; let D（k） be the least s for which the inequality |η...
关键词：In The Solubility of Certain Diophantine Inequalities 
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