Prof. Chaohua Jia

Office: Room 610, Si Yuan Building

E-Mail: jiachATmath.ac.cn

Research Interests: Number theory

Research Summary:

Obtain some results on the exceptional set of Goldbach numbers in the short interval

Obtain a series of results on the three primes theorem in the short interval

Obtain some results on the distribution of prime numbers in almost all short intervals

Obtain some results on the estimate for the lower bound of the largest prime factor of integers in the short interval

Obtain some results on the approximation to the irrational number by rational numbers with prime denominators

Obtain best error terms in asymptotic formulas of forth and over forth moments of Dedekind sums

Prove a conjecture of Yiming Long

Representative Research Works:

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

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

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

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

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.

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

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

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

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

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.