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Some analytic bounds for zeta functions and class numbers. (English) Zbl 0474.12009

##### MSC:
 11R42 Zeta functions and $$L$$-functions of number fields 11R23 Iwasawa theory 11R80 Totally real fields
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##### References:
 [1] Hoffstein, J.: On the Siegel-Tatuzawa theorem. Acta Arithmetica38, in press (1979) · Zbl 0449.10030 [2] Hoffstein, J.: A Bound for Siegel’s zero. In press (1979) · Zbl 0474.12009 [3] Ingham, A.E.: The Distribution of Prime Numbers. Cambridge, 1932 · Zbl 0006.39701 [4] Myron Masley, J., Hugh, Montgomery, L.: Cyclotomic Fields with Unique Factorization, J. Reine Angew. Math. 286/287 (1976), pp. 248–256. · Zbl 0335.12013 [5] Odlyzko, A.: Some Analytic Estimates of Class Numbers and Discriminants Inventiones Math.29, 279–286 (1975) · Zbl 0306.12005 [6] Odlyzko, A.: Lower Bounds for Discriminants of Number Fields II, Tohoku Math. Journ.29, 209–216 (1977) · Zbl 0362.12005 [7] Stark, H.M.: Some Effective Cases of the Brauer-Siegel Theorem, Inventiones Math.23, 135–152 (1974) · Zbl 0278.12005
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