Giovanni Coppola
Published 2008-05-14Version 1
We study the arithmetic (real) function, with f 'essentially bounded'. 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 $[x-h,x+h]$, $N\le x\le 2N$, beyond the 'classical' level, up to a very high level of distribution (for $h$ not too small). This time we go beyond Large Sieve inequality. Precisely, our method applies Weil bound for Kloosterman sums.
On The Symmetry Of Arithmetical Functions In Almost All Short Intervals, V
On the Correlations, Selberg Integral and Symmetry of Sieve Functions in Short Intervals, III
On the Correlations, Selberg Integral and Symmetry of Sieve Functions in Short Intervals
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