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Bestimmung aller imaginär-quadratischen Zahlkörper der Klassenzahl Eins mit Hilfe eines Satzes von Baker. (German) Zbl 0176.33202


Keywords:

number theory
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References:

[1] Baker, A.: Linear forms in the logarithms of algebraic numbers. Mathematika13, 204-216 (1966). · Zbl 0161.05201
[2] Deuring, M.: Imagin?re quadratische Zahlk?rper mit der Klassenzahl Eins. Inventiones Math.5, 169-179 (1968). · Zbl 0155.38001
[3] Gelfond, A. O., and Yu. V. Linnik: On Thue’s method and the problem of effectiveness in quadratic fields (russ.). Doklady Akad. Nauk SSSR61, 773-776 (1948).
[4] Heegner, K.: Diophantische Analysis und Modulfunktionen. Math. Z.56, 227-253 (1952). · Zbl 0049.16202
[5] Heilbronn, H., and E. H. Linfoot: On the imaginary quadratic corpora of class number one. Quart J. Math. Oxford Ser.5, 293-301 (1934). · Zbl 0010.33703
[6] Landau, E.: Vorlesungen ?ber Zahlentheorie, Band 1. Leipzig: S. Hirzel 1927. · JFM 53.0123.17
[7] Siegel, C. L.: Zum Beweis des Starkschen Satzes. Inventiones Math.5, 180-191 (1968). · Zbl 0175.33602
[8] Stark, H. M.: On complex quadratic fields with class number equal to one. Trans. Amer. Math. Soc.122, 112-119 (1966). · Zbl 0137.02401
[9] ?: A complete determination of the complex quadratic fields of class-number one. Michigan Math. J.14, 1-27 (1967). · Zbl 0148.27802
[10] ?: On the ?gap? in a theorem of Heegner. J. Number Theory1, 16-27 (1969). · Zbl 0198.37702
[11] ?: On the role of modular functions in a class-number problem. J. Number Theory1, 252-260 (1969). · Zbl 0198.07402
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