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Estimates for prime ideals. (English) Zbl 0428.12010


MSC:

11R45 Density theorems
11R04 Algebraic numbers; rings of algebraic integers
11N05 Distribution of primes
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References:

[1] Brauer, R., On the zeta-functions of algebraic number fields, Amer. J. Math., 69, 243-250 (1947) · Zbl 0029.01502
[2] Fogels, E., On the distribution of prime ideals, Acta Arith., 7, 255-269 (1962) · Zbl 0107.26603
[3] Friedlander, J. B., Character sums in quadratic fields, (Proc. London Math. Soc., 28 (1974)), 99-111, (3) · Zbl 0282.12005
[4] Goldstein, L. J., A generalization of the Siegel-Walfisz theorem, Trans. Amer. Math. Soc., 149, 417-429 (1970) · Zbl 0201.05701
[5] Hardy, G. H.; Wright, E. M., (An Introduction to the Theory of Numbers (1960), Oxford Univ. Press: Oxford Univ. Press London) · Zbl 0086.25803
[6] Lagarias, J. C.; Odlyzko, A. M., Effective versions of the Cebotarev density theorem, (Fröhlich, A., Algebraic Number Fields (1977), Academic Press: Academic Press London) · Zbl 0362.12011
[7] Odlyzko, A. M., Some analytic estimates of class numbers and discriminants, Invent. Math., 29, 275-286 (1975) · Zbl 0306.12005
[8] Rademacher, H., On the Phragmén-Lindelöf theorem and some applications, Math. Z., 72, 192-204 (1959) · Zbl 0092.27703
[9] Stark, H. M., Some effective cases of the Brauer-Siegel theorem, Invent. Math., 23, 135-152 (1974) · Zbl 0278.12005
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