On sums and differences of two coprime kth powers
Wenguang Zhai
Acta Arithmetica, Tome 89 (1999), p. 233-248 / Harvested from The Polish Digital Mathematics Library
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207354
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     author = {Wenguang Zhai},
     title = {On sums and differences of two coprime kth powers},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {233-248},
     zbl = {0936.11056},
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Wenguang Zhai. On sums and differences of two coprime kth powers. Acta Arithmetica, Tome 89 (1999) pp. 233-248. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav91i3p233bwm/

[000] [1] R. C. Baker, The square-free divisor problem, Quart. J. Math. Oxford Ser. 45 (1994), 269-277. | Zbl 0812.11053

[001] [2] E. Fouvry and H. Iwaniec, Exponential sums for monomials, J. Number Theory 33 (1989), 311-333. | Zbl 0687.10028

[002] [3] M. N. Huxley, Exponential sums and lattice points II, Proc. London Math. Soc. 66 (1993), 279-301. | Zbl 0820.11060

[003] [4] A. Ivić, The Riemann Zeta-function, Wiley, 1985. | Zbl 0556.10026

[004] [5] E. Krätzel, Lattice Points, Deutsch. Verlag Wiss., Berlin, 1988.

[005] [6] E. Krätzel, Primitive lattice points in special plane domains and a related three-dimensional lattice point problem I, Forschungsergebnisse, FSU, Jena, N/87/11, 1987. | Zbl 0622.10036

[006] [7] H. L. Montgomery and R. C. Vaughan, The distribution of squarefree numbers, in: Recent Progress in Analytic Number Theory (Durham, 1979), Vol. 1, Academic Press, London, 1981, 247-256.

[007] [8] B. Z. Moroz, On the number of primitive lattice points in plain domains, Monatsh. Math. 99 (1985), 37-43. | Zbl 0551.10038

[008] [9] W. Müller and W. G. Nowak, Lattice points in planar domains: applications of Huxley's 'discrete Hardy-Littlewood method', in: Number-Theoretic Analysis (Vienna, 1988-89), Lecture Notes in Math. 1452, Springer, 1990, 139-164.

[009] [10] W. Müller and W. G. Nowak, On a mean-value theorem concerning differences of two k-th powers, Tsukuba J. Math. 13 (1989), 23-29. | Zbl 0687.10033

[010] [11] W. G. Nowak, On sums of two coprime k-th powers, Monatsh. Math. 108 (1989), 47-57. | Zbl 0678.10034

[011] [12] W. G. Nowak, On sums and differences of two relative prime cubes, Analysis 15 (1995), 325-341. | Zbl 0842.11032

[012] [13] W. G. Nowak, Primitive lattice points in starlike planar sets, Pacific J. Math. 170 (1997), 163-178. | Zbl 0917.11052

[013] [14] W. G. Nowak, On sums of two k-th powers: a mean-square bound for the error term, Analysis 16 (1996), 297-304. | Zbl 0860.11060

[014] [15] W. G. Nowak, On sums and differences of two relative prime cubes II, Tatra Mt. Math. Publ. 11 (1997) (Proc. Czech and Slovak Number Theory Conference, 1995), 23-34. | Zbl 0978.11050

[015] [16] W. G. Nowak, On differences of two k-th powers of integers, Ramanujan J. 2 (1998), 421-440. | Zbl 0922.11080

[016] [17] J. D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216. | Zbl 0575.42003