On the Correlations, Selberg Integral and Symmetry of Sieve Functions in Short Intervals

Details On the Correlations, Selberg Integral and Symmetry of Sieve Functions in Short Intervals On the Correlations, Selberg Integral and Symmetry of Sieve Functions in Short Intervals

2007-09-23

arxiv.org/abs/0709.3648v3

J. Comb. Number Theory 2(2) (2010), 91-105

Mathematics

Number Theory

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Scientific paper

We study the arithmetic (real) function f=g*1, with g "essentially bounded" and supported over the integers of [1,Q]. In particular, we obtain non-trivial bounds, through f "correlations", for the "Selberg integral" and the "symmetry integral" of f in almost all short intervals [x-h,x+h], N

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