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A theorem on totally multiplicative functions

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Abstract

In this paper we resolve in the affirmative a conjecture of Emma Lehmer that there are exactly two totally multiplicative functions F taking on values ±1, with F(2)=+1, for which there are no positive integers a,a+2, a+3 with F(a)=F(a+2)=F(a+3)=+1.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of South Carolina, 29208, Columbia, South Carolina, USA

    Richard H. Hudson

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  1. Richard H. Hudson
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Research supported by Natural Sciences and Engineering Research Council Canada Grant #A-7233

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Hudson, R.H. A theorem on totally multiplicative functions. Manuscripta Math 36, 323–346 (1981). https://doi.org/10.1007/BF01322496

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  • DOI: https://doi.org/10.1007/BF01322496

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