個人簡況
賈朝華研究員
辦公室：
中國科學院數(shù)學與系統(tǒng)科學研究院 思源樓610室
研究方向：數(shù)論
主要成果
對于小區(qū)間中哥德巴赫數(shù)的例外集問題得到若干結(jié)果
對于小區(qū)間上的三素數(shù)定理得到一系列結(jié)果
對于幾乎所有小區(qū)間中的素數(shù)分布得到若干結(jié)果
對于小區(qū)間中整數(shù)的最大素因子的下界估計取得若干結(jié)果
對于用分母為素數(shù)的有理數(shù)去逼近無理數(shù)的問題取得若干結(jié)果
對于Dedekind和四次及四次以上均值的漸近公式得到最佳余項
證明了龍以明的一個猜想
代表論著
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.