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Some analytic bounds for zeta functions and class numbers

  • Published: December 1979
  • Volume 55, pages 37–47 (1979)
  • Cite this article

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Inventiones mathematicae Aims and scope
Some analytic bounds for zeta functions and class numbers
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  • Jeffrey Hoffstein1 
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  • 15 Citations

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  • Analytical Techniques in Number Theory

References

  1. Hoffstein, J.: On the Siegel-Tatuzawa theorem. Acta Arithmetica38, in press (1979)

  2. Hoffstein, J.: A Bound for Siegel's zero. In press (1979)

  3. Ingham, A.E.: The Distribution of Prime Numbers. Cambridge, 1932

  4. Myron Masley, J., Hugh, Montgomery, L.: Cyclotomic Fields with Unique Factorization, J. Reine Angew. Math. 286/287 (1976), pp. 248–256.

    Google Scholar 

  5. Odlyzko, A.: Some Analytic Estimates of Class Numbers and Discriminants Inventiones Math.29, 279–286 (1975)

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  6. Odlyzko, A.: Lower Bounds for Discriminants of Number Fields II, Tohoku Math. Journ.29, 209–216 (1977)

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  7. Stark, H.M.: Some Effective Cases of the Brauer-Siegel Theorem, Inventiones Math.23, 135–152 (1974)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Pure Mathematics, 16 Mill Lane, CB2 1SB, Cambridge, England

    Jeffrey Hoffstein

Authors
  1. Jeffrey Hoffstein
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Hoffstein, J. Some analytic bounds for zeta functions and class numbers. Invent Math 55, 37–47 (1979). https://doi.org/10.1007/BF02139701

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  • Received: 28 December 1978

  • Revised: 20 July 1979

  • Issue date: December 1979

  • DOI: https://doi.org/10.1007/BF02139701

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Keywords

  • Zeta Function
  • Class Number
  • Analytic Bound

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