%0 Journal Article %T Two algorithms for evaluation of the Newman digit sum, and a new proof of Coquet's theorem %A Vladimir Shevelev %J Mathematics %D 2007 %I arXiv %X We give two simple algorithms for the evaluation of difference between the numbers of multiples of 3 with even and odd binary digit sums in interval [0,x), and give an elementary proof of Coquet's sharp estimates for it. %U http://arxiv.org/abs/0709.0885v4