On an equation with prime numbers

A. Kumchev; T. Nedeva

Acta Arithmetica (1998)

  • Volume: 83, Issue: 2, page 117-126
  • ISSN: 0065-1036

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A. Kumchev, and T. Nedeva. "On an equation with prime numbers." Acta Arithmetica 83.2 (1998): 117-126. <http://eudml.org/doc/207109>.

@article{A1998,
author = {A. Kumchev, T. Nedeva},
journal = {Acta Arithmetica},
language = {eng},
number = {2},
pages = {117-126},
title = {On an equation with prime numbers},
url = {http://eudml.org/doc/207109},
volume = {83},
year = {1998},
}

TY - JOUR
AU - A. Kumchev
AU - T. Nedeva
TI - On an equation with prime numbers
JO - Acta Arithmetica
PY - 1998
VL - 83
IS - 2
SP - 117
EP - 126
LA - eng
UR - http://eudml.org/doc/207109
ER -

References

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  1. [1] G. I. Arkhipov and A. N. Zhitkov, On the Waring problem with non-integer degrees, Izv. Akad. Nauk SSSR 48 (1984), 1138-1150 (in Russian). Zbl0568.10027
  2. [2] K. Buriev, Additive problems with prime numbers, thesis, Moscow University, 1989 (in Russian). 
  3. [3] Y. C. Cai, On a diophantine inequality involving prime numbers, Acta Math. Sinica 39 (1996), 733-742 (in Chinese). 
  4. [4] J. M. Deshouillers, Problème de Waring avec exposants non entiers, Bull. Soc. Math. France 101 (1973), 285-295. Zbl0292.10038
  5. [5] J. M. Deshouillers, Un problème binaire en théorie additive, Acta Arith. 25 (1974), 393-403. Zbl0278.10020
  6. [6] S. W. Graham and G. A. Kolesnik, Van der Corput's Method of Exponential Sums, London Math. Soc. Lecture Note Ser. 126, Cambridge Univ. Press, 1991. Zbl0713.11001
  7. [7] S. A. Gritsenko, Three additive problems, Izv. Ross. Akad. Nauk 56 (1992), 1198-1216 (in Russian). 
  8. [8] D. R. Heath-Brown, The Pjateckiĭ-Šapiro prime number theorem, J. Number Theory 16 (1983), 242-266. Zbl0513.10042
  9. [9] G. A. Kolesnik, On the number of abelian groups of a given order, J. Reine Angew. Math. 329 (1981), 164-175. Zbl0467.10035
  10. [10] M. Laporta and D. I. Tolev, On an equation with prime numbers, Mat. Zametki 57 (1995), 926-929 (in Russian). Zbl0858.11054
  11. [11] H.-Q. Liu, On square-full numbers in short intervals, Acta Math. Sinica (N.S.) 65 (1993), 148-164. Zbl0708.11044
  12. [12] I. I. Piatetski-Shapiro, On a variant of the Waring-Goldbach problem, Mat. Sb. 30 (1952), 105-120 (in Russian). Zbl0047.28001
  13. [13] B. I. Segal, On a theorem similar to the Waring theorem, Dokl. Akad. Nauk SSSR 1 (1933), 47-49 (in Russian). Zbl0008.24303
  14. [14] B. I. Segal, The Waring theorem with fractional and irrational degrees, Trudy Mat. Inst. Steklov. 5 (1933), 73-86 (in Russian). 
  15. [15] D. I. Tolev, On a diophantine inequality involving prime numbers, Acta Arith. 61 (1992), 289-306. Zbl0762.11033
  16. [16] I. M. Vinogradov, Representation of an odd number as the sum of three primes, Dokl. Akad. Nauk SSSR 15 (1937), 291-294 (in Russian). 

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