Generalized Newman Phenomena and Digit Conjectures on Primes

Vladimir Shevelev

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-12

Abstract:

We prove that the ratio of the Newman sum over numbers multiple of a fixed integer, which is not a multiple of 3, and the Newman sum over numbers multiple of a fixed integer divisible by 3 is o(1) when the upper limit of summing tends to infinity. We also discuss a connection of our results with a digit conjecture on primes.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:908045

DOI: 10.1155/2008/908045

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