A CLASSIFICATION OF ORDER 4 CLASS GROUPS OF

Authors

  • Hasan Sankari Tishreen University
  • Ahmad Issa Tishreen University

Abstract

In this paper, we have studied one of the important problems which is the classification of class groups according to the order. Especially, we have studied the classification of order 4 class groups of the family of real quadratic fields  where  is a positive squarefree integer, depending on the factor of the principal ideal  in   where  is an odd prime divides , and a lower bound for the class number of . In addition, the concept of class zeta function and generalized Dedekind sum.

Author Biographies

Hasan Sankari, Tishreen University

Associate Professor, Department of Mathematics, Faculty of Science

Ahmad Issa, Tishreen University

Postgraduate Student (Ph.D), Department of Mathematics, Faculty of Science

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Published

2021-05-20

How to Cite

1.
سنكري ح, عيسى ا. A CLASSIFICATION OF ORDER 4 CLASS GROUPS OF . TUJ-BA [Internet]. 2021May20 [cited 2024Apr.28];43(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/10545

Issue

Vol. 43 No. 2 (2021): Tishreen University Journal for Research and Scientific Studies - Basic Sciences Series

Section

Articles

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