ArticleOriginal scientific text

Title

On a system of two diophantine inequalities with prime numbers

Authors 1

Affiliations

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

Bibliography

  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.
Pages:
31-46
Main language of publication
English
Received
1998-08-11
Published
2000
Exact and natural sciences