ArticleOriginal scientific text

Title

Multiple exponential sums with monomials

Authors 1, 2

Affiliations

  1. Beijing Institute of Petro-Chemical Technology, Daxing, Beijing, 102600, P.R. China
  2. Department of Mathematics, Shandong Normal University, Jinan, Shandong, 250014, P.R. China

Bibliography

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  2. X.-D. Cao and W.-G. Zhai, On the distribution of pα modulo one, J. Théor. Nombres Bordeaux, to appear.
  3. X.-D. Cao and W.-G. Zhai, On the distribution of square-full integers, submitted.
  4. E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333.
  5. S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge Univ. Press, Cambridge, 1991.
  6. M. N. Huxley and N. Watt, Exponential sums with a parameter, Proc. London Math. Soc. 59 (1989), 233-252.
  7. E. Krätzel, Lattice Points, Deutscher Verlag Wiss., Berlin, 1988.
  8. H.-Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296.
  9. P. Sargos and J. Wu, Multiple exponential sums with monomials and their applications in number theory, Acta Math. Hungar. 88 (2000), to appear.
  10. E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Clarendon Press, Oxford, 1951.
Pages:
195-213
Main language of publication
English
Received
1998-08-12
Accepted
1999-08-30
Published
2000
Exact and natural sciences