ArticleOriginal scientific text

Title

A diophantine inequality involving prime powers

Authors 1

Affiliations

  1. Department of Mathematics, University of South Carolina, Columbia, SC 29208 U.S.A.

Bibliography

  1. Y. C. Cai, On a diophantine inequality involving prime numbers, Acta Math. Sinica 39 (1996), 733-742 (in Chinese).
  2. J. B. Friedlander, Integers free from large and small primes, Proc. London Math. Soc. (3) 33 (1976), 565-576.
  3. G. Harman, On the distribution of αp modulo one, J. London Math. Soc. (2) 27 (1983), 9-18.
  4. G. Harman, On the distribution of αp modulo one II, Proc. London Math. Soc. (3) 72 (1996), 241-260.
  5. A. Kumchev and T. Nedeva, On an equation with prime numbers, Acta Arith. 83 (1998), 117-126.
  6. H.-Q. Liu, On square-full numbers in short intervals, Acta Math. Sinica (N.S.) 65 (1993), 148-164.
  7. H. L. Montgomery, Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis, CBMS Regional Conf. Ser. in Math., Amer. Math. Soc., Providence, R.I., 1994.
  8. I. I. Piatetski-Shapiro, On a variant of the Waring-Goldbach problem, Mat. Sb. 30 (1952), 105-120 (in Russian).
  9. P. Sargos and J. Wu, Multiple exponential sums with monomials and their applications in number theory, preprint, 1997.
  10. D. I. Tolev, On a diophantine inequality involving prime numbers, Acta Arith. 61 (1992), 289-306.
  11. I. M. Vinogradov, Representation of an odd number as the sum of three primes, Dokl. Akad. Nauk SSSR 15 (1937), 291-294 (in Russian).
Pages:
311-330
Main language of publication
English
Received
1998-10-23
Published
1999
Exact and natural sciences