The canonical height and integral points on elliptic curves

[1]  J. Barkley Rosser,et al.  Sharper bounds for the Chebyshev functions $\theta (x)$ and $\psi (x)$ , 1975 .

[2]  Heights and Elliptic Curves , 1986 .

[3]  Joseph H. Silverman,et al.  The arithmetic of elliptic curves , 1986, Graduate texts in mathematics.

[4]  Marvin Tretkoff,et al.  Introduction to the Arithmetic Theory of Automorphic Functions , 1971 .

[5]  Paul Vojta.  Diophantine Approximations and Value Distribution Theory , 1987 .

[6]  Joseph H. Silverman,et al.  Lower bound for the canonical height on elliptic curves , 1981 .

[7]  C. Siegel.  Über Gitterpunkte in Convexen Körpern und ein Damit Zusammenhängendes Extremalproblem , 1935 .

[8]  Horst G. Zimmer,et al.  On the difference of the Weil height and the Néron-Tate height , 1976 .

[9]  Lucien Szpiro,et al.  Séminaire sur les pinceaux de courbes de genre au moins deux , 1981 .

[10]  Joseph H. Silverman,et al.  A quantitative version of Siegel's theorem: integral points on elliptic curves and Catalan curves. , 1987 .

[11]  Hugh L. Montgomery,et al.  Algebraic integers near the unit circle , 1971 .

[12]  Don Zagier,et al.  Modular Functions of One Variable III , 1973 .

[13]  V. Dem'janenko.  ON TATE HEIGHT AND THE REPRESENTATION OF NUMBERS BY BINARY FORMS , 1974 .

[14]  S. Lang,et al.  Elliptic Curves: Diophantine Analysis , 1978 .

[15]  Joseph H. Silvermann.  Integer points and the rank of Thue elliptic curves , 1982 .

[16]  J. Barkley Rosser,et al.  Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II , 1975 .

[17]  David A. Cox,et al.  Intersection numbers of sections of elliptic surfaces , 1979 .

[18]  R. C. Mason.  The hyperelliptic equation over function fields , 1983, Mathematical Proceedings of the Cambridge Philosophical Society.

[19]  Jean-Pierre Serre,et al.  Good reduction of abelian varieties , 1968 .

[20]  V. A. Dem'yanenko.  Estimate of the remainder term in Tate's formula , 1968 .

[21]  Joseph H. Silverman.  The S -unit equation over function fields , 1984 .

[22]  T. Apostol.  Introduction to analytic number theory , 1976 .

[23]  A. Ogg,et al.  ELLIPTIC CURVES AND WILD RAMIFICATION. , 1967 .

[24]  Jean-Pierre Serre.  A Course in Arithmetic , 1973 .

[25]  W. Schmidt.  Thue's equation over function fields , 1978, Journal of the Australian Mathematical Society.

[26]  T. Apostol.  Modular Functions and Dirichlet Series in Number Theory , 1976 .

[27]  Joseph H. Silverman,et al.  Computing heights on elliptic curves , 1988 .