New proof examines conditions for torsion in characterized subgroups of the circle group, highlighting key implications.
Recently, P. Das, A. Ghosh and T. Aziz have given a criterion for statistically characterized subgroups of the circle group β/β€ to be torsion. Here we give a completely different and much shorter proof of this result. Moreover, we give for a characterized subgroup of β/β€ a sufficient condition to be torsion, unifying and generalizing earlier results.
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Hans Weber (2025) studied this question.
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