# On a system of two diophantine inequalities with prime numbers

Acta Arithmetica (2000)

- Volume: 92, Issue: 1, page 31-46
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topWenguang Zhai. "On a system of two diophantine inequalities with prime numbers." Acta Arithmetica 92.1 (2000): 31-46. <http://eudml.org/doc/207367>.

@article{WenguangZhai2000,

author = {Wenguang Zhai},

journal = {Acta Arithmetica},

keywords = {Diophantine inequalities with prime variables},

language = {eng},

number = {1},

pages = {31-46},

title = {On a system of two diophantine inequalities with prime numbers},

url = {http://eudml.org/doc/207367},

volume = {92},

year = {2000},

}

TY - JOUR

AU - Wenguang Zhai

TI - On a system of two diophantine inequalities with prime numbers

JO - Acta Arithmetica

PY - 2000

VL - 92

IS - 1

SP - 31

EP - 46

LA - eng

KW - Diophantine inequalities with prime variables

UR - http://eudml.org/doc/207367

ER -

## References

top- [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. Zbl0713.11001
- [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. Zbl0980.11044
- [5] A. Kumchev and T. Nedeva, On an equation with prime numbers, ibid. 83 (1998), 117-126. Zbl1023.11054
- [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). Zbl0053.02702
- [8] D. I. Tolev, On a diophantine inequality involving prime numbers, Acta Arith. 61 (1992), 289-306. Zbl0762.11033
- [9] D. I. Tolev, On a system of two diophantine inequalities with prime numbers, ibid. 69 (1995), 387-400. Zbl0826.11046