Lattice points in bodies of revolution

Fernando Chamizo

Acta Arithmetica (1998)

  • Volume: 85, Issue: 3, page 265-277
  • ISSN: 0065-1036

How to cite

top

Fernando Chamizo. "Lattice points in bodies of revolution." Acta Arithmetica 85.3 (1998): 265-277. <http://eudml.org/doc/207168>.

@article{FernandoChamizo1998,
author = {Fernando Chamizo},
journal = {Acta Arithmetica},
keywords = {bodies of revolution; convex body; lattice points},
language = {eng},
number = {3},
pages = {265-277},
title = {Lattice points in bodies of revolution},
url = {http://eudml.org/doc/207168},
volume = {85},
year = {1998},
}

TY - JOUR
AU - Fernando Chamizo
TI - Lattice points in bodies of revolution
JO - Acta Arithmetica
PY - 1998
VL - 85
IS - 3
SP - 265
EP - 277
LA - eng
KW - bodies of revolution; convex body; lattice points
UR - http://eudml.org/doc/207168
ER -

References

top
  1. [Ch-Iw] F. Chamizo and H. Iwaniec, On the sphere problem, Rev. Mat. Iberoamericana 11 (1995), 417-429. 
  2. [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. Zbl0127.27503
  3. [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. 
  4. [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. Zbl0713.11001
  5. [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.) 
  6. [He] C. S. Herz, Fourier transforms related to convex sets, Ann. of Math. 75 (1962), 81-92. Zbl0111.34803
  7. [Hl] E. Hlawka, Über Integrale auf konvexen Körpern I, Monatsh. Math. 54 (1950), 1-36. 
  8. [Hu] M. N. Huxley, Exponential sums and lattice points II, Proc. London Math. Soc. (3) 66 (1993), 279-301. Zbl0820.11060
  9. [Iv] A. Ivić, The Riemann Zeta-Function, Wiley, 1985. 
  10. [Kr] E. Krätzel, Lattice Points, Kluwer, Dordrecht, 1988. 
  11. E. Krätzel and W. G. Nowak, Lattice points in large convex bodies, II, Acta Arith. 62 (1992), 285-295. Zbl0769.11037
  12. [Sp] M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. II, 2nd ed., Publish or Perish, 1979. 
  13. [Ti] E. C. Titchmarsh, The lattice-points in a circle, Proc. London Math. Soc. (2) 38 (1934), 96-115. Zbl0010.10403
  14. [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). Zbl0116.03901

NotesEmbed ?

top

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.