Estimates of Newman Sum over Numbers Multiple of a Fixed Integer
Number Theory
2008-08-20 v7
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.
Keywords
Cite
@article{arxiv.0804.0144,
title = {Estimates of Newman Sum over Numbers Multiple of a Fixed Integer},
author = {Vladimir Shevelev},
journal= {arXiv preprint arXiv:0804.0144},
year = {2008}
}
Comments
12 pages;improvement of factor mu_m and addition an example