The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes

• Autorzy: Hongze Li
• Języki publikacji: EN

Kategorie tematyczne

• 11P32: Goldbach-type theorems; other additive questions involving primes
• 11P55: Applications of the Hardy-Littlewood method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 3
• Strony: 229-237

Daty

wydano

2000

otrzymano

1999-02-12

poprawiono

1999-09-28

Twórcy

autor

Hongze Li

• Department of Mathematics, Shandong University, Jinan Shandong 250100, P.R. China

Bibliografia

• [1] J. R. Chen and J. M. Liu, The exceptional set of Goldbach numbers (III), Chinese Quart. J. Math. 4 (1989), 1-15.
• [2] D. R. Heath-Brown, Zero-free regions for Dirichlet L-functions, and the least prime in an arithmetic progression, Proc. London Math. Soc. (3) 64 (1992), 265-338.
• [3] H. Z. Li, Zero-free regions for Dirichlet L-functions, Quart. J. Math. Oxford 50 (1999), 13-23.
• [4] H. Z. Li, The exceptional set of Goldbach numbers, ibid. 50 (1999), 471-482.
• [5] H. Z. Li, The exceptional set of Goldbach numbers ( II), Acta Arith. 92 (2000), 71-88.
• [6] Yu. V. Linnik, Prime numbers and powers of two, Trudy Mat. Inst. Steklov. 38 (1951), 151-169 (in Russian).
• [7] Yu. V. Linnik, Addition of prime numbers and powers of one and the same number, Mat. Sb. 32 (1953), 3-60 (in Russian).
• [8] J. Y. Liu, M. C. Liu and T. Z. Wang, The number of powers of 2 in a representation of large even integers ( II), Sci. in China 41 (1998), 1255-1271.
• [9] H. L. Montgomery and R. C. Vaughan, On the exceptional set in Goldbach's problem, Acta Arith. 27 (1975), 353-370.