On a system of two diophantine inequalities with prime numbers

Wenguang Zhai

Acta Arithmetica (2000)

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

How to cite

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Wenguang 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

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  1. [1] Y. C. Cai, On a diophantine inequality involving prime numbers, Acta Math. Sinica 39 (1996), 733-742 (in Chinese). 
  2. [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. [3] E. Krätzel, Lattice Points, Deutsch. Verlag Wiss., Berlin, 1988. 
  4. [4] A. Kumchev, A diophantine inequality involving prime powers, Acta Arith. 89 (1999), 311-330. Zbl0980.11044
  5. [5] A. Kumchev and T. Nedeva, On an equation with prime numbers, ibid. 83 (1998), 117-126. Zbl1023.11054
  6. [6] S.-H. Min, The Methods of Number Theory, Science Press, Beijing, 1983 (in Chinese). 
  7. [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. [8] D. I. Tolev, On a diophantine inequality involving prime numbers, Acta Arith. 61 (1992), 289-306. Zbl0762.11033
  9. [9] D. I. Tolev, On a system of two diophantine inequalities with prime numbers, ibid. 69 (1995), 387-400. Zbl0826.11046

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