Points at rational distance from the corners of a unit square

T. G. Berry

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1990)

  • Volume: 17, Issue: 4, page 505-529
  • ISSN: 0391-173X

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Berry, T. G.. "Points at rational distance from the corners of a unit square." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.4 (1990): 505-529. <http://eudml.org/doc/84085>.

@article{Berry1990,
author = {Berry, T. G.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {K3 surface; Kummer surface; elliptic curves; rationally parametrized curves; rational distances},
language = {eng},
number = {4},
pages = {505-529},
publisher = {Scuola normale superiore},
title = {Points at rational distance from the corners of a unit square},
url = {http://eudml.org/doc/84085},
volume = {17},
year = {1990},
}

TY - JOUR
AU - Berry, T. G.
TI - Points at rational distance from the corners of a unit square
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
PB - Scuola normale superiore
VL - 17
IS - 4
SP - 505
EP - 529
LA - eng
KW - K3 surface; Kummer surface; elliptic curves; rationally parametrized curves; rational distances
UR - http://eudml.org/doc/84085
ER -

References

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  4. [4] S.A. Bremner, A geometric approach to equal sums of sixth powers. Proc. London Math. Soc.43, 1981, 544-581. Zbl0414.14026
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  7. [7] D.A. Cox, Solutions of Weierstrass equations. Algebraic Geometry, Proceedings, Copenhagen 1976. Springer Lecture Notes in Mathematics732, 43-59. Springer Verlag, Berlin1976. Zbl0438.14019
  8. [8] R.K. Guy, Unsolved Problems in number theory. Springer Verlag, Berlin1981. Zbl0474.10001
  9. [9] R.K. Guy, Tiling the square with rational triangles. Acta Arithmetica. To appear. 
  10. [10] A. Krazer, Lehrbuch der Thetafunctionen. Chelsea, N.Y.1970. Zbl0212.42901
  11. [11] S. Lang, Introduction to algebraic and Abelian functions. Springer Verlag, Berlin1982. Zbl0513.14024
  12. [12] S. Lang, Modular Functions of one variable IV. Springer Lecture Notes in Mathematics732. Springer Verlag, Berlin1978. 
  13. [13] U. Persson, Double coverings and surfaces of general type. Algebraic Geometry Proceedings, Tromso, Norway, 1977. Springer Lecture Notes in Mathematics687. Springer Verlag, Berlin1979. Zbl0396.14003
  14. [14] T. Shioda, On Elliptic Modular Surfaces. J. Mat. Soc. Japan, 24, 1972, 20-59. Zbl0226.14013
  15. [15] T. Shioda, Supersingular K3 surfaces. Algebraic Geometry, Proceedings, Copenhagen 1976. Springer Lecture Notes in Mathematics732, 544-591. Springer Verlag, Berlin1976. Zbl0414.14019
  16. [16] H.P.F. Swinnerton-Dyer, Applications of Algebraic Geometry to Number Theory. Proc. Symp. Pure Math.20, AMS, Providence, Rhode Island, 1970. Zbl0228.14001

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