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賈朝華

時間:2015-01-16  來源:文本大小:【 |  | 】  【打印

 

辦公室:思源南樓N912

電話:010-82541816

箱:jiach@math.ac.cn

研究方向:數論

主要成果

1.   對于小區間中哥德巴赫數的例外集問題得到若干結果

2.   對于小區間上的三素數定理得到一系列結果

3.   對于幾乎所有小區間中的素數分布得到若干結果

4.   對于小區間中整數的最大素因子的下界估計取得若干結果

5.   對于用分母為素數的有理數去逼近無理數的問題取得若干結果

6.   對于Dedekind和四次及四次以上均值的漸近公式得到最佳余項

7.        證明了龍以明的一個猜想

表論著:

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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