Pretentious multiplicative functions and an inequality for the zeta-function

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We note how several central results in multiplicative number theory may be rephrased naturally in terms of multiplicative functions $f$ that pretend to be another multiplicative function $g$. We formalize a `distance' which gives a measure of such {\sl pretentiousness}, and as one consequence obtain a curious inequality for the zeta-function.
8 pages

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Number Theory, Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/115443

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608407
 http://arxiv.org/abs/math/0608407

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arXiv