Abstract:We find a finite subdivision of the interval [0,1] w The circle method of Hardy-Litlewood-Ramanujan [1] is based on the subdivision of the unit interval [0,1] by Farey's arcs. Large and small arcs are equally important for binary problems because the third (lowering) sum on the small arcs does not occur for them. For this reason the number-theorists axe aware of the problem of equalizing the arcs, which is equivalent to their precise construction for all rational Farey's points.Yurii Linnik was the first to i… Show more
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