# Multiple exponential sums with monomials

Acta Arithmetica (2000)

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

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top## How to cite

topXiaodong 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

top- [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] X.-D. Cao and W.-G. Zhai, On the distribution of ${p}^{\alpha}$ 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. Zbl0687.10028
- [5] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge Univ. Press, Cambridge, 1991. Zbl0713.11001
- [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. Zbl0675.10031
- [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. Zbl0963.11045
- [10] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Clarendon Press, Oxford, 1951. Zbl0042.07901

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