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Heights in number fields. (English) Zbl 0428.12009


MSC:

11R45 Density theorems
11N45 Asymptotic results on counting functions for algebraic and topological structures
14G05 Rational points

Citations:

Zbl 0115.387

References:

[1] DAVENPORT (H.) . - On a principle of Lipschitz , J. London math. Soc., t. 26, 1951 , p. 179-183. MR 13,323d | Zbl 0042.27504 · Zbl 0042.27504 · doi:10.1112/jlms/s1-26.3.179
[2] HARDY (G. H.) and WRIGHT (E. M.) . - An introduction to the theory of numbers . - Oxford, Clarendon Press, 1938 . Zbl 0020.29201 | JFM 64.0093.03 · Zbl 0020.29201
[3] HECKE (H.) . - Vorlesungen über die Theorie der algebraischen Zahlen . - Leipzig, Akademische Verlagsgesellschaft, 1923 . Zbl 0041.01102 | JFM 49.0106.10 · Zbl 0041.01102
[4] LANDAU (E.) . - Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale . - Leipzig, Teubner, 1927 . JFM 53.0141.09 · JFM 53.0141.09
[5] LANG (S.) . - Diophantine geometry . - New York, Interscience Publishers, 1962 (Interscience Tracts in pure and applied Mathematics, 11). MR 26 #119 | Zbl 0115.38701 · Zbl 0115.38701
[6] LANG (S.) . - Algebraic number theory . - Reading, Addison-Wesley publishing Company, 1970 (Addison-Wesley Series in Mathematics). MR 44 #181 | Zbl 0211.38404 · Zbl 0211.38404
[7] SCHANUEL (S.) . - On heights in number fields , Bull. Amer. math. Soc., t. 70, 1964 , p. 262-263. Article | MR 29 #91 | Zbl 0122.04202 · Zbl 0122.04202 · doi:10.1090/S0002-9904-1964-11110-1
[8] WEBER (H.) . - Lehrbuch der Algebra . Band 2. 2te Auflage. - Braunschweig, F. Vieweg, 1899 . JFM 30.0093.01 · JFM 30.0093.01
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