Lattice points on ellipses
J. Cilleruelo and A. Córdoba
Source: Duke Math. J. Volume 76, Number 3
(1994), 741-750.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077287203
Mathematical Reviews number (MathSciNet): MR1309329
Zentralblatt MATH identifier: 0822.11069
Digital Object Identifier: doi:10.1215/S0012-7094-94-07629-1
References
[1] J. Cilleruelo and A. Córdoba, Trigonometric polynomials and lattice points, Proc. Amer. Math. Soc. 115 (1992), no. 4, 899–905.
Mathematical Reviews (MathSciNet): MR92j:11116
Zentralblatt MATH: 0777.11035
Digital Object Identifier: doi:10.2307/2159332
JSTOR: links.jstor.org
[2] J. Cilleruelo and A. Córdoba, $B\sb 2[\infty]$-sequences of square numbers, Acta Arith. 61 (1992), no. 3, 265–270.
Mathematical Reviews (MathSciNet): MR93g:11014
Zentralblatt MATH: 0762.11007
[3] J. Cilleruelo and A. Córdoba, La Teoria de los Números, Mondadori, Madrid, 1992.
[4] J. Cilleruelo, Arcs containing no three lattice points, Acta Arith. 59 (1991), no. 1, 87–90.
Mathematical Reviews (MathSciNet): MR92i:11110
Zentralblatt MATH: 0735.11053
[5] J. Cilleruelo, The distribution of the lattice points on circles, J. Number Theory 43 (1993), no. 2, 198–202.
Mathematical Reviews (MathSciNet): MR94c:11097
Zentralblatt MATH: 0777.11036
Digital Object Identifier: doi:10.1006/jnth.1993.1017
[6] J. Cilleruelo, $B_2$-sequences whose terms are squares, preprint.
[7] A. Córdoba, Translation invariant operators, Fourier analysis (Proc. Sem., El Escorial, 1979), Asoc. Mat. Espa nola, vol. 1, Asoc. Mat. Espa nola, Madrid, 1980, pp. 117–176.
Mathematical Reviews (MathSciNet): MR81m:42014
Zentralblatt MATH: 0472.42008
[8] Y. Meyer, Algebraic numbers and harmonic analysis, North-Holland Publishing Co., Amsterdam, 1972.
Mathematical Reviews (MathSciNet): MR58:5579
Zentralblatt MATH: 0267.43001
[9] W. Narkiewicz, Elementary and analytic theory of algebraic numbers, PWN—Polish Scientific Publishers, Warsaw, 1974.
Mathematical Reviews (MathSciNet): MR50:268
Zentralblatt MATH: 0276.12002
[10] W. Rudin, Trigonometric series with gaps, J. Math. Mech. 9 (1960), 203–227.
Mathematical Reviews (MathSciNet): MR22:6972
Zentralblatt MATH: 0091.05802
[11] A. Zygmund, A Cantor-Lebesgue theorem for double trigonometric series, Studia Math. 43 (1972), 173–178.
Mathematical Reviews (MathSciNet): MR47:711
Zentralblatt MATH: 0214.32501
[12] A. Zygmund, On Fourier coefficients and transforms of functions of two variables, Studia Math. 50 (1974), 189–201.
Mathematical Reviews (MathSciNet): MR52:8788
Zentralblatt MATH: 0278.42005
Duke Mathematical Journal