TL;DRAbstract
1 Introduction Let x be a large real number. Study of the famous Dirichlet’s divisor problem suggests that for positive integers n≤x. Distribution of {x/n} in [0, 1) is fairly even. For any given real number α satisfying 0≤α<1, let L(x; α) denote the number of positive integers n such that
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1 Introduction Let x be a large real number. Study of the famous Dirichlet’s divisor problem suggests that for positive integers n≤x. Distribution of {x/n} in [0, 1) is fairly even. For any given real number α satisfying 0≤α<1, let L(x; α) denote the number of positive integers n such that
Keywords
MathematicsDirichlet distributionCombinatoricsDistribution (mathematics)Divisor (algebraic geometry)Discrete mathematicsMathematical analysis
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