On the exceptional set of Goldbach numbers in a short interval

Acta Arithmetica

Volumn 77, Issue 3, 1996, Pages 207-287

  Jia, Chao Hua ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030445847     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-77-3-207-287     Document Type: Article

References (23)

1. P. X. Gallagher, A large sieve density estimate near σ = 1, Invent. Math. 11 (1970), 329-339.
2. D. R. Heath-Brown and H. Iwaniec, On the difference between consecutive primes, ibid. 55 (1979), 49-69.
3. L. K. Hua, Some results in the additive prime number theory, Quart. J. Math. Oxford 9 (1938), 68-80.
4. M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170.
5. _, Large values of Dirichlet polynomials III, Acta Arith. 26 (1975), 435-444.
6. H. Iwaniec, A new form of the error term in the linear sieve, ibid. 37 (1980), 307-320.
7. C. H. Jia, Three primes theorem in a short interval (III), Sci. China Ser. A 34 (1991), 1039-1056.
8. _, Three primes theorem in a short interval (V), Acta Math. Sinica (N.S.) 7 (1991), 135-170.
9. _, On Pjateckǐ-Šapiro prime number theorem (II), Sci. China Ser. A 36 (1993), 913-926.
10. _, Goldbach numbers in short interval, Sci. China Ser. A 24 (1994), 1233-1259 (in Chinese); I. Sci. China Ser. A 38 (1995), 385-406; II. Sci. China Ser. A 38 (1995), 513-523.
11. _, Goldbach numbers in short interval, Sci. China Ser. A 24 (1994), 1233-1259 (in Chinese); I. Sci. China Ser. A 38 (1995), 385-406; II. Sci. China Ser. A 38 (1995), 513-523.
12. _, Goldbach numbers in short interval, Sci. China Ser. A 24 (1994), 1233-1259 (in Chinese); I. Sci. China Ser. A 38 (1995), 385-406; II. Sci. China Ser. A 38 (1995), 513-523.
13. _, On the difference between consecutive primes, Sci. China Ser. A 38 (1995), 1163-1186.
14. H. Li, On the Goldbach numbers in short interval, Sci. China Ser. A, to appear.
15. H. Mikawa, On the exceptional set in Goldbach's problem, Tsukuba J. Math. 16 (1992), 513-543.
16. H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, Berlin, 1971.
17. Chengdong Pan and Chengbiao Pan, Goldbach Conjecture, Science Press, Beijing, 1981 (in Chinese).
18. Chengdong Pan and Chengbiao Pan, The Basis of Analytic Number Theory, Science Press, Beijing, 1991 (in Chinese).
19. A. Perelli and J. Pintz, On the exceptional set for Goldbach's problem in short intervals, J. London Math. Soc. (2) 47 (1993), 41-49.
20. K. Ramachandra, On the number of Goldbach numbers in small intervals, J. Indian Math. Soc. 37 (1973), 157-170.
21. B. Saffari and R. C. Vaughan, On the fractional parts of x/n and related sequences II, Ann. Inst. Fourier (Grenoble) 27 (1977), 1-30.
22. P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math. 313 (1980), 161-170.
23. N. Watt, Short intervals almost all containing primes, Acta Arith. 72 (1995), 131-167.