Abstract
Concerning the characterization ofmultiplicative almost-even arithmetical functions (Theorems of ELLIOTT, DABOUSSI, DELANGE) one of the assumptions is weakened. Moreover, counterexamples are given, showing that an exact analogue of the HILDEBRAND-SPILKER characterization ofadditive almost-even functions is not true. Finally two results of SCHWARZ- SPILKER are proved under weaker assumptions.
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Kunth, P. Über eine arithmetische Charakterisierung der multiplikativen, fast-geraden Funktionen. Manuscripta Math 65, 275–279 (1989). https://doi.org/10.1007/BF01303037
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DOI: https://doi.org/10.1007/BF01303037