Corpus ID: 14937612

ON THE CORRELATIONS, SELBERG INTEGRAL AND SYMMETRY OF SIEVE FUNCTIONS IN SHORT INTERVALS

@article{Coppola2007ONTC,
  title={ON THE CORRELATIONS, SELBERG INTEGRAL AND SYMMETRY OF SIEVE FUNCTIONS IN SHORT INTERVALS},
  author={G. Coppola},
  journal={arXiv: Number Theory},
  year={2007}
}
  • G. Coppola
  • Published 2007
  • Mathematics
  • arXiv: Number Theory
  • 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 ≤ x ≤ 2N, beyond the "classical" level, up to level of distribution, say, λ = log Q/log N < 2/3 (for enough large h). This time we don't apply Large Sieve inequality, as in our paper (C-S… CONTINUE READING
    12 Citations

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