Lattice points in bodies of revolution
Fernando Chamizo
Acta Arithmetica, Tome 84 (1998), p. 265-277 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207168
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     author = {Fernando Chamizo},
     title = {Lattice points in bodies of revolution},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {265-277},
     zbl = {0919.11061},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav85i3p265bwm}
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Fernando Chamizo. Lattice points in bodies of revolution. Acta Arithmetica, Tome 84 (1998) pp. 265-277. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav85i3p265bwm/

[000] [Ch-Iw] F. Chamizo and H. Iwaniec, On the sphere problem, Rev. Mat. Iberoamericana 11 (1995), 417-429.

[001] [Ch] J.-R. Chen, Improvement on the asymptotic formulas for the number of lattice points in a region of the three dimensions (II), Sci. Sinica 12 (1963), 751-764. | Zbl 0127.27503

[002] [Ga] C. F. Gauss, De nexu inter multitudinem classium, in quas formae binariae secundi gradus distribuntur, earumque determinantem [II] (1837); Werke, Band 2, 269-291.

[003] [Gr-Ko] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, London Math. Soc. Lecture Note Ser. 126, Cambridge Univ. Press, Cambridge, 1991. | Zbl 0713.11001

[004] [H-B] D. R. Heath-Brown, Lattice points in the sphere, preprint, 1997. (To appear in the Proceedings of the Number Theory Conference held in Zakopane, Poland, 1997.)

[005] [He] C. S. Herz, Fourier transforms related to convex sets, Ann. of Math. 75 (1962), 81-92. | Zbl 0111.34803

[006] [Hl] E. Hlawka, Über Integrale auf konvexen Körpern I, Monatsh. Math. 54 (1950), 1-36.

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

[008] [Iv] A. Ivić, The Riemann Zeta-Function, Wiley, 1985.

[009] [Kr] E. Krätzel, Lattice Points, Kluwer, Dordrecht, 1988.

[010] E. Krätzel and W. G. Nowak, Lattice points in large convex bodies, II, Acta Arith. 62 (1992), 285-295. | Zbl 0769.11037

[011] [Sp] M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. II, 2nd ed., Publish or Perish, 1979.

[012] [Ti] E. C. Titchmarsh, The lattice-points in a circle, Proc. London Math. Soc. (2) 38 (1934), 96-115. | Zbl 0010.10403

[013] [Vi] I. M. Vinogradov, On the number of integer points in a sphere, Izv. Akad. Nauk SSSR Ser. Mat. 27 (1963), 957-968 (in Russian). | Zbl 0116.03901