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Asymptotics of Class Numbers for Real Quadratic Fields

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Women in Numbers Europe III

Part of the book series: Association for Women in Mathematics Series ((AWMS,volume 24))

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Abstract

In this paper we prove an asymptotic formula for class numbers of real quadratic fields ordered by the regulator.

This work was supported in part by the Labex CEMPI (ANR-11-LABX-0007-01).

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Acknowledgements

The author wants to thank Prof. Dr. J. Elstrodt for introducing her to the subject of Hecke operators and class numbers during her diploma project and B. Winn for helpful discussions.

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Authors and Affiliations

  1. Univ. Lille, CNRS, UMR 8524 – Laboratoire Paul Painlevé, Lille, France

    Nicole Raulf

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  1. Nicole Raulf
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Correspondence to Nicole Raulf .

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Editors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, USA

    Alina Carmen Cojocaru

  2. Laboratoire MIS, University of Picardie Jules Verne, Amiens, France

    Sorina Ionica

  3. Laboratoire IRMAR, Université de Rennes 1, Rennes, France

    Elisa Lorenzo García

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Raulf, N. (2021). Asymptotics of Class Numbers for Real Quadratic Fields. In: Cojocaru, A.C., Ionica, S., García, E.L. (eds) Women in Numbers Europe III. Association for Women in Mathematics Series, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-030-77700-5_10

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