On a diophantine inequality involving prime numbers

D. I. Tolev

Acta Arithmetica (1992)

  • Volume: 61, Issue: 3, page 289-306
  • ISSN: 0065-1036

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D. I. Tolev. "On a diophantine inequality involving prime numbers." Acta Arithmetica 61.3 (1992): 289-306. <http://eudml.org/doc/206467>.

@article{D1992,
author = {D. I. Tolev},
journal = {Acta Arithmetica},
keywords = {Goldbach-Waring type problem; zero density estimates; zero-free regions; Riemann zeta-function; exponential sums},
language = {eng},
number = {3},
pages = {289-306},
title = {On a diophantine inequality involving prime numbers},
url = {http://eudml.org/doc/206467},
volume = {61},
year = {1992},
}

TY - JOUR
AU - D. I. Tolev
TI - On a diophantine inequality involving prime numbers
JO - Acta Arithmetica
PY - 1992
VL - 61
IS - 3
SP - 289
EP - 306
LA - eng
KW - Goldbach-Waring type problem; zero density estimates; zero-free regions; Riemann zeta-function; exponential sums
UR - http://eudml.org/doc/206467
ER -

References

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  1. [1] S. A. Gritsenko, On a problem of I. M. Vinogradov, Mat. Zametki 39 (1987), 625-640 (in Russian). 
  2. [2] M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170. Zbl0241.10026
  3. [3] A. A. Karatsuba, Principles of Analytic Number Theory, Nauka, Moscow 1983 (in Russian). 
  4. [4] I. I. Piatetski-Shapiro, On a variant of Waring-Goldbach's problem, Mat. Sb. 30 (72) (1) (1952), 105-120 (in Russian). Zbl0047.28001
  5. [5] B. I. Segal, On a theorem analogous to Waring's theorem, Dokl. Akad. Nauk SSSR (N. S.) 2 (1933), 47-49 (in Russian). Zbl0008.24303
  6. [6] E. G. Titchmarsh, The Theory of the Riemann Zeta-function (revised by D. R. Heath-Brown), Clarendon Press, Oxford 1986. Zbl0601.10026
  7. [7] D. I. Tolev, Diophantine inequalities involving prime numbers, Thesis, Moscow University, 1990 (in Russian). Zbl0762.11033
  8. [8] R. C. Vaughan, On the distribution of αp modulo 1, Mathematika 24 (1977), 135-141. 

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