Abstract
An important theorem of Shiu gives a (precise) bound for the average of values of multiplicative functions, of a certain class, over ‘short’ intervals. Here we obtain, by simple means, the above result of same qualitative order.
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Reference
Shiu P, A Brun—Titchmarsh theorem for multiplicative functions,J. Reine Angew. Math. 311 (1980) 161–170
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Srinivasan, S. A weak Brun—Titchmarsh theorem for multiplicative functions. Proc. Indian Acad. Sci. (Math. Sci.) 107, 387–389 (1997). https://doi.org/10.1007/BF02837222
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DOI: https://doi.org/10.1007/BF02837222