10.46298/hrj.2017.2635
https://hrj.episciences.org/2635
Coppola, Giovanni
Giovanni
Coppola
Laporta, Maurizio
Maurizio
Laporta
Sieve functions in arithmetic bands
An arithmetic function f is a sieve function of range Q, if its Eratosthenes transform g = f * µ is supported in [1, Q]∩N, where g(q) ε q ε , ∀ε > 0. Here, we study the distribution of f over the so-called short arithmetic bands 1≤a≤H {n ∈ (N, 2N ] : n ≡ a (mod q)}, with H = o(N), and give applications to both the correlations and to the so-called weighted Selberg integrals of f , on which we have concentrated our recent research.
episciences.org
mean squares
arithmetic progressions
short intervals
Mathematics Subject Classification 11N37
[MATH] Mathematics [math]
2017-01-09
2017-01-09
2017-01-09
en
journal article
https://hal.archives-ouvertes.fr/hal-01425555v1
2804-7370
https://hrj.episciences.org/2635/pdf
VoR
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Hardy-Ramanujan Journal
Volume 39 - 2016
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