国家自然科学基金(s10771100)

作品数：3被引量：2H指数：1
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8-Ranks of Class Groups of Quadratic Number Fields and Their Densities被引量：1
《Acta Mathematica Sinica,English Series》2011年第7期1419-1434,共16页Qin YUE 
Supported by National Natural Science Foundation of China （Grant Nos. 10771100, 10971250）
For F = Q（√εpq）, ε∈ {±1,±2}, primes -p ≡ q ≡ 1 mod 4, we give the necessary and sufficient conditions for 8-ranks of narrow class groups of F equal to 1 or 2 such that we can calculate their densities. All r...
关键词：Class group unramified extension quartic residue 
The Relationship between the Nonexistence of Generalized Bent Functions and Diophantine Equations
《Acta Mathematica Sinica,English Series》2011年第6期1173-1186,共14页Feng Mei LIU Qin YUE 
Supported by National Natural Science Foundation of China （Grant Nos. 10771100, 10971250）
Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, an...
关键词：Generalized bent function integral basis Diophantine equation 
A relationship between the nonexistence of generalized bent functions and class groups被引量：1
《Science China Mathematics》2010年第1期213-222,共10页LIU FengMei 1,& YUE Qin 21 Department of Information Research,College of Information Engineering,Information Engineering University,Zhengzhou 450002,China 2 Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China 
supported by National Natural Science Foundation of China (Grant Nos.10771100,10971250)
A new result on the nonexistence of generalized bent functions is presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations. At the...
关键词：GENERALIZED BENT function INTEGRAL BASIS class group GENUS theory 
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