On the symmetry of arithmetical functions in almost all short intervals,IV

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dc.creatorCoppola, Giovanni
dc.date2008-05-14
dc.date.accessioned2026-07-07T09:38:47Z
dc.date.available2026-07-07T09:38:47Z
dc.descriptionWe 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0805.1985
dc.identifierhttp://arxiv.org/abs/0805.1985
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160934
dc.subjectNumber Theory
dc.subject11N37; 11N25
dc.titleOn the symmetry of arithmetical functions in almost all short intervals,IV
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