Abstract
Let, as usual ℕ, ℤ, ℚ, ℝ, ℂ be the set of positive integers, integers, rational, real, and complex numbers, respectively. Let ℚ×, ℝ× be the multiplicative group of positive rationals, reals, respectively. Let \(\mathcal{P}\) be the set of prime numbers.
This is a survey paper on the characterization of continuous group homomorphisms as arithmetical functions, and on sets of uniqueness with respect to completely additive functions.
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Kátai, I. (2000). Continuous Homomorphisms as Arithmetical Functions, and Sets of Uniqueness. In: Bambah, R.P., Dumir, V.C., Hans-Gill, R.J. (eds) Number Theory. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-02-6_11
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DOI: https://doi.org/10.1007/978-93-86279-02-6_11
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