# On an equation with prime numbers

Acta Arithmetica (1998)

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

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topA. 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

top- [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] K. Buriev, Additive problems with prime numbers, thesis, Moscow University, 1989 (in Russian).
- [3] Y. C. Cai, On a diophantine inequality involving prime numbers, Acta Math. Sinica 39 (1996), 733-742 (in Chinese).
- [4] J. M. Deshouillers, Problème de Waring avec exposants non entiers, Bull. Soc. Math. France 101 (1973), 285-295. Zbl0292.10038
- [5] J. M. Deshouillers, Un problème binaire en théorie additive, Acta Arith. 25 (1974), 393-403. Zbl0278.10020
- [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] S. A. Gritsenko, Three additive problems, Izv. Ross. Akad. Nauk 56 (1992), 1198-1216 (in Russian).
- [8] D. R. Heath-Brown, The Pjateckiĭ-Šapiro prime number theorem, J. Number Theory 16 (1983), 242-266. Zbl0513.10042
- [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] M. Laporta and D. I. Tolev, On an equation with prime numbers, Mat. Zametki 57 (1995), 926-929 (in Russian). Zbl0858.11054
- [11] H.-Q. Liu, On square-full numbers in short intervals, Acta Math. Sinica (N.S.) 65 (1993), 148-164. Zbl0708.11044
- [12] I. I. Piatetski-Shapiro, On a variant of the Waring-Goldbach problem, Mat. Sb. 30 (1952), 105-120 (in Russian). Zbl0047.28001
- [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] B. I. Segal, The Waring theorem with fractional and irrational degrees, Trudy Mat. Inst. Steklov. 5 (1933), 73-86 (in Russian).
- [15] D. I. Tolev, On a diophantine inequality involving prime numbers, Acta Arith. 61 (1992), 289-306. Zbl0762.11033
- [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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