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Moebius-convolutions and the Riemann hypothesis | Luis Baez-Duarte
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20 Apr 2005 | Subject: | Number Theory | math.NT | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
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