ON EXPONENTIALLY PERFECT NUMBERS AND THEIR GENERALIZATIONS
تاريخ مناقشة الاطروحه
2019-01-02
اسم الطالب
اسماء خضر محمد محيسن
المشرف
خالد احمد خالد الشرع
المشرف المشارك
اعضاء لجنة المناقشة
احمد محمود الصالح ابوسليم
علي حسن احمد هندم
احمد عبدالله الرحيل
الكلية
كلية العلوم
القسم
الرياضيات
الملخص بالعربية
الملخص بالانجليزي
The purpose of this thesis is to investigate properties of exponentially multiplicatively perfect numbers and some of their generalizations.
For a natural number , we call a divisor an exponential divisor of if divides for all . By we denote the product of all divisors of and we denote the product of all exponential divisors of .
A positive integer is called -multiplicatively perfect if and is -multiplicatively exponentially perfect if In this thesis we study - multiplicatively perfect and give description for some of these numbers.
In particular, we introduced the concept of -super plus multiplicatively exponentially perfect number ( super -perfect). We list all super -perfect numbers up to then we provide with a criterion for some numbers to be super -perfect. Finally, we propose a problem to give a general description of these numbers
رقم ISN
738
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