RO-NMO 2003 Problem 104
- Grade 10
a) Prove that the sum of all the elements of a finite union of sets of elements of finite cyclic subgroups of the group of complex numbers, is an integer number.b) Show that there are finite union of sets of elements of finite cyclic subgroups of the group of complex numbers such that the sum of all its elements is equal to any given integer.
Paltin Ionescu
Dataset text AI-MO AoPS. Quoted with source.
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