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Estimates of Newman sum over numbers multiple of a fixed integer, arXiv (math

By Vladimir Shevelev

Abstract

Abstract. We prove that the ratio of the Newman sum over numbers multiple of a fixed integer which is not 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. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.313.996
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