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29 March 2024
 
  » arxiv » math.NT/0504402

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Moebius-convolutions and the Riemann hypothesis
Luis Baez-Duarte ;
Date 20 Apr 2005
Subject Number Theory | math.NT
AbstractThe well-known necessary and sufficient criteria for the Riemann hypothesis of M. Riesz and Hardy-Littlewood, based on the order of growth at infinity along the positive real axis of certain entire functions, are here imbedded in a general theorem for a class of entire functions, which in turn is seen to be a consequence of a rather transparent convolution criterion. Some properties of the convolutions involved sharpen what is hitherto known for the Riesz function.
Source arXiv, math.NT/0504402
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