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贾朝华

时间:2015-01-16  来源:文本大小:【 |  | 】  【打印

 

办公室:思源南楼N912

电话:010-82541816

箱:jiach@math.ac.cn

研究方向:数论

主要成果

1.   对于小区间中哥德巴赫数的例外集问题得到若干结果

2.   对于小区间上的三素数定理得到一系列结果

3.   对于几乎所有小区间中的素数分布得到若干结果

4.   对于小区间中整数的最大素因子的下界估计取得若干结果

5.   对于用分母为素数的有理数去逼近无理数的问题取得若干结果

6.   对于Dedekind和四次及四次以上均值的渐近公式得到最佳余项

7.        证明了龙以明的一个猜想

表论著:

1.   C. Jia, On a conjecture of Yiming Long, Acta Arith., 122(2006), no.1, 57-61.

2.   C. Jia (jointly with D. R. Heath-Brown), The distribution of αp modulo one, Proc. London Math. Soc.(3), 84(2002), 79-104.

3.   C. Jia, On the mean value of Dedekind sums, J. Number Theory, 87(2001), 173- 188.

4.   C. Jia (jointly with Ming-Chit Liu), On the largest prime factor of integers, Acta Arith., 95(2000), no.1, 17-48.

5.   C. Jia (jointly with D. R. Heath-Brown), The largest prime factor of the integers in an interval, II, J. Reine Angew. Math., 498(1998), 35-59.

6.   C. Jia, On the exceptional set of Goldbach numbers in a short interval, Acta Arith., 77(1996), no.3, 207-287.

7.   C. Jia, Almost all short intervals containing prime numbers, Acta Arith., 76(1996), no.1, 21-84.

8.   C. Jia, Three primes theorem in a short interval (VII), Acta Math. Sin., New Series, 10(1994), 369-387.

9.   C. Jia, Three primes theorem in a short interval (V), Acta Math. Sin., New Series, 2(1991), 135-170.

10. C. Jia, Three primes theorem in a short interval (II), International symposium in memory of Hua Loo Keng, Science Press and Springer-Verlag, Berlin, 1991, 103-115.

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