دراسة زمرة الصفوف للحقل التربيعي Q(√(〖p^2 m〗^2-4m)) باستخدام قيم زيتا ديدكند الجزئية

Authors

  • ياسمين غانم الرياضيات النظرية – كلية العلوم – جامعة طرطوس- طرطوس سورية.

Keywords:

: Real quadratic field, Class Number, Dedekind zeta function, Partial Dedekind zeta values .

Abstract

 

In this paper, we have studied one of the important problems in algebraic number theory which is the class group of the family of real quadratic field  where  is a positive square free integer, where we find lower bound for the class number and proved unique factorization for specific values of  depending on Dedekind zeta function.

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Published

2026-02-04