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math.NT2026
On the class number of real multiquadratic fields
Mohamed Mahmoud Chems-Eddin, Hamza El Mamry
In their 1988 monograph, Conner and Hurrelbrink classified all real quadratic and biquadratic fields with odd class number. They also investigated real quadratic fields whose -c…
math.NT2026
On the Narrow 2-Class Field Tower of Some Real Quadratic Number Fields: Lengths Heuristics Follow-Up
Elliot Benjamin, Mohamed Mahmoud Chems-Eddin
In this article we continue the investigation of the length of the narrow -class field tower of real quadratic number fields whose discriminants are not a sum of tw…
math.NT2026
Greenberg's conjecture and Iwasawa module of Real biquadratic fields II
Mohamed Mahmoud Chems-Eddin, Hamza El Mamry
In this paper we are interested in the stability of the -rank of the class group in the cyclotomic -extension of real biquadratic fields. In fact, we give several…