ArticleOriginal scientific text

Title

On a diophantine inequality involving prime numbers

Authors 1

Affiliations

  1. Department of Mathematics, University of Plovdiv, "Tsar Asen" 24, Plovdiv 4000, Bulgaria

Bibliography

  1. S. A. Gritsenko, On a problem of I. M. Vinogradov, Mat. Zametki 39 (1987), 625-640 (in Russian).
  2. M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170.
  3. A. A. Karatsuba, Principles of Analytic Number Theory, Nauka, Moscow 1983 (in Russian).
  4. I. I. Piatetski-Shapiro, On a variant of Waring-Goldbach's problem, Mat. Sb. 30 (72) (1) (1952), 105-120 (in Russian).
  5. B. I. Segal, On a theorem analogous to Waring's theorem, Dokl. Akad. Nauk SSSR (N. S.) 2 (1933), 47-49 (in Russian).
  6. E. G. Titchmarsh, The Theory of the Riemann Zeta-function (revised by D. R. Heath-Brown), Clarendon Press, Oxford 1986.
  7. D. I. Tolev, Diophantine inequalities involving prime numbers, Thesis, Moscow University, 1990 (in Russian).
  8. R. C. Vaughan, On the distribution of αp modulo 1, Mathematika 24 (1977), 135-141.
Pages:
289-306
Main language of publication
English
Received
1991-05-22
Published
1992
Exact and natural sciences