In this paper, we prove large deviation results for some sequences of weighted sums of random variables. These sequences have applications to the probabilistic generalized Cramér model for products of primes in arithmetic progressions; they could lead to new conjectures concerning the (non-random) set of products of primes in arithmetic progressions, a relevant topic in number theory.

Giuliano, R., Macci, C. (2018). Large Deviation Results and Applications to the Generalized Cramér Model. MATHEMATICS, 6(4) [10.3390/math6040049].

Large Deviation Results and Applications to the Generalized Cramér Model

C. Macci
2018-01-01

Abstract

In this paper, we prove large deviation results for some sequences of weighted sums of random variables. These sequences have applications to the probabilistic generalized Cramér model for products of primes in arithmetic progressions; they could lead to new conjectures concerning the (non-random) set of products of primes in arithmetic progressions, a relevant topic in number theory.
2018
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
arithmetic progressions; first Chebyshev function; products of primes; regularly varying functions; slowly varying functions
Giuliano, R., Macci, C. (2018). Large Deviation Results and Applications to the Generalized Cramér Model. MATHEMATICS, 6(4) [10.3390/math6040049].
Giuliano, R; Macci, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/196898
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