Chaohua JIA

Professor
    Office: Room 610, Si Yuan Building 
    Telephone: +86-10-62541843
    E-Mail: jiach@math.ac.cn
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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 ¦Áp 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.

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