Multiple exponential sums with monomials

Xiaodong Cao; Wenguang Zhai

Acta Arithmetica (2000)

  • Volume: 92, Issue: 3, page 195-213
  • ISSN: 0065-1036

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Xiaodong Cao, and Wenguang Zhai. "Multiple exponential sums with monomials." Acta Arithmetica 92.3 (2000): 195-213. <http://eudml.org/doc/207382>.

@article{XiaodongCao2000,
author = {Xiaodong Cao, Wenguang Zhai},
journal = {Acta Arithmetica},
keywords = {multiple exponential sums with monomials; double large sieve inequality},
language = {eng},
number = {3},
pages = {195-213},
title = {Multiple exponential sums with monomials},
url = {http://eudml.org/doc/207382},
volume = {92},
year = {2000},
}

TY - JOUR
AU - Xiaodong Cao
AU - Wenguang Zhai
TI - Multiple exponential sums with monomials
JO - Acta Arithmetica
PY - 2000
VL - 92
IS - 3
SP - 195
EP - 213
LA - eng
KW - multiple exponential sums with monomials; double large sieve inequality
UR - http://eudml.org/doc/207382
ER -

References

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  1. [1] E. Bombieri and H. Iwaniec, On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa 13 (1986), 449-472. Zbl0615.10047
  2. [2] X.-D. Cao and W.-G. Zhai, On the distribution of p α modulo one, J. Théor. Nombres Bordeaux, to appear. 
  3. [3] X.-D. Cao and W.-G. Zhai, On the distribution of square-full integers, submitted. 
  4. [4] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333. Zbl0687.10028
  5. [5] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge Univ. Press, Cambridge, 1991. Zbl0713.11001
  6. [6] M. N. Huxley and N. Watt, Exponential sums with a parameter, Proc. London Math. Soc. 59 (1989), 233-252. 
  7. [7] E. Krätzel, Lattice Points, Deutscher Verlag Wiss., Berlin, 1988. Zbl0675.10031
  8. [8] H.-Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296. 
  9. [9] P. Sargos and J. Wu, Multiple exponential sums with monomials and their applications in number theory, Acta Math. Hungar. 88 (2000), to appear. Zbl0963.11045
  10. [10] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Clarendon Press, Oxford, 1951. Zbl0042.07901

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