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A numerical bound for small prime solutions of some binary equations
《Science China Mathematics》2003年第1期48-63,共16页李红泽 
This work was supported by the National Natural Science Foundation of China(Grant No. 19971051) ; the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institution of MOE, China.
In this paper we consider the linear equation a1p1 + a2p2 = n in prime variables pi and estimatethe numerical value of a relevant constant in the upper bound for small prime solutions of the above equationin terms of ...
关键词：BINARY equation  circle method  L-function. 
Congruences for the class numbers of real cyclic sextic number fields被引量：2
《Science China Mathematics》1999年第10期1009-1018,共10页刘通 
Project supported by the National Natural Science Foundation of China (Grant No. 19771052).
LetK 6 be a real cyclic sextic number field, andK 2,K 3 its quadratic and cubic subfield. Leth(L) denote the ideal class number of fieldL. Seven congruences forh - =h (K 6)/(h(K 2)h(K 3)) are obtained. In particular, ...
关键词：REAL CYCLIC sextic NUMBER field class NUMBER P-ADIC L-function. 
Kazhdan-Mazur非零假设的证明
《前沿科学》2018年第1期86-89,共4页孙斌勇 
我们证明了GL(n)×GL(n-1)的Rankin-Selberg卷积在无穷远处的非零假设。
关键词：上同调表示 Rankin-Selberg卷积 临界值 L-函数 
A Bombieri-type mean-value theorem concerning exponential sums over primes
《Chinese Science Bulletin》1996年第5期363-366,共4页展涛 刘建亚 
Project supported by the Tianyuan Foundation.
In several classical problems in number theory,like the Goldbach problem or the twinprime problem,one has to treat the exponential
关键词：EXPONENTIAL sum over PRIMES mean-value theorem L-function. 
TEN FORMULAE OF TYPE ANKENY-ARTINCHOWLA FOR CLASS NUMBERS OF GENERAL CYCLIC QUARTIC FIELDS被引量：3
《Science China Mathematics》1989年第4期417-428,共12页张贤科 
Project supported by the National Natural Science Foundation of China.
Let K be a cyclic quartic number field, and k its quadratic subfield. Let h(L) denote theideal class number of field L. Ten congruenees for h^- = h(K)/h(k) are obtained. In par-ticular, if K = Q((p+s(p^(1/2))))^(1/2) ...
关键词：QUARTIC field class number P-ADIC L-function. 
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