On a system of two diophantine inequalities with prime numbers

• Autorzy: Wenguang Zhai
• Języki publikacji: EN

Kategorie tematyczne

• 11P55: Applications of the Hardy-Littlewood method
• 11D75: Diophantine inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 1
• Strony: 31-46

Daty

wydano

2000

otrzymano

1998-08-11

Twórcy

autor

Wenguang Zhai

• Department of Mathematics, Shandong Normal University, Jinan, 250014, Shandong, P.R. China

Bibliografia

• [1] Y. C. Cai, On a diophantine inequality involving prime numbers, Acta Math. Sinica 39 (1996), 733-742 (in Chinese).
• [2] S. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, London Math. Soc. Lecture Note Ser. 126, Cambridge Univ. Press, 1991.
• [3] E. Krätzel, Lattice Points, Deutsch. Verlag Wiss., Berlin, 1988.
• [4] A. Kumchev, A diophantine inequality involving prime powers, Acta Arith. 89 (1999), 311-330.
• [5] A. Kumchev and T. Nedeva, On an equation with prime numbers, ibid. 83 (1998), 117-126.
• [6] S.-H. Min, The Methods of Number Theory, Science Press, Beijing, 1983 (in Chinese).
• [7] I. I. Piatetski-Shapiro, On the distribution of prime numbers in sequences of the form [f(n)], Mat. Sb. 33 (1953), 559-566 (in Russian).
• [8] D. I. Tolev, On a diophantine inequality involving prime numbers, Acta Arith. 61 (1992), 289-306.
• [9] D. I. Tolev, On a system of two diophantine inequalities with prime numbers, ibid. 69 (1995), 387-400.