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Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields

In: Class Groups of Number Fields and Related Topics

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  • Mohit Mishra

    (Harish-Chandra Research Institute, HBNI)

Abstract

Determination of class number of a quadratic number field is one of the fundamental problems in algebraic number theory. This topic have been the object of attention for many years and there exist a large number of interesting results. This is a survey aimed at reviewing some results concerning the criteria for the class number of certain Richaud–Degert type real quadratic number fields to be at most 3.

Suggested Citation

  • Mohit Mishra, 2020. "Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields," Springer Books, in: Kalyan Chakraborty & Azizul Hoque & Prem Prakash Pandey (ed.), Class Groups of Number Fields and Related Topics, pages 163-174, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-1514-9_15
    DOI: 10.1007/978-981-15-1514-9_15
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