Multiple exponential sums with monomials
Xiaodong Cao ; Wenguang Zhai
Acta Arithmetica, Tome 92 (2000), p. 195-213 / Harvested from The Polish Digital Mathematics Library
Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:207382
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     author = {Xiaodong Cao and Wenguang Zhai},
     title = {Multiple exponential sums with monomials},
     journal = {Acta Arithmetica},
     volume = {92},
     year = {2000},
     pages = {195-213},
     zbl = {0979.11040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav92i3p195bwm}
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Xiaodong Cao; Wenguang Zhai. Multiple exponential sums with monomials. Acta Arithmetica, Tome 92 (2000) pp. 195-213. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav92i3p195bwm/

[000] [1] E. Bombieri and H. Iwaniec, On the order of ζ(1/2+it), Ann. Scuola Norm. Sup. Pisa 13 (1986), 449-472. | Zbl 0615.10047

[001] [2] X.-D. Cao and W.-G. Zhai, On the distribution of pα modulo one, J. Théor. Nombres Bordeaux, to appear.

[002] [3] X.-D. Cao and W.-G. Zhai, On the distribution of square-full integers, submitted.

[003] [4] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333. | Zbl 0687.10028

[004] [5] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge Univ. Press, Cambridge, 1991. | Zbl 0713.11001

[005] [6] M. N. Huxley and N. Watt, Exponential sums with a parameter, Proc. London Math. Soc. 59 (1989), 233-252.

[006] [7] E. Krätzel, Lattice Points, Deutscher Verlag Wiss., Berlin, 1988. | Zbl 0675.10031

[007] [8] H.-Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296.

[008] [9] P. Sargos and J. Wu, Multiple exponential sums with monomials and their applications in number theory, Acta Math. Hungar. 88 (2000), to appear. | Zbl 0963.11045

[009] [10] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Clarendon Press, Oxford, 1951. | Zbl 0042.07901