Multiple exponential sums with monomials

Xiaodong Cao; Wenguang Zhai

Acta Arithmetica (2000)

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

How to cite


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

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 = {},
volume = {92},
year = {2000},

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 -
ER -


  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

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.