賈朝華

個人簡況

賈朝華研究員

辦公室：

中國科學院數學與系統科學研究院思源樓610室

研究方向：數論

對於小區間中哥德巴赫數的例外集問題得到若干結果

對於小區間上的三素數定理得到一系列結果

對於幾乎所有小區間中的素數分布得到若干結果

對於小區間中整數的最大素因子的下界估計取得若干結果

對於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

對於Dedekind和四次及四次以上均值的漸近公式得到最佳餘項

證明了龍以明的一個猜想

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.