Large Deviation Results and Applications to the Generalized Cramér Model
Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, I-00133 Rome, Italy
Author to whom correspondence should be addressed.
The support of INdAM (Fondi GNAMPA) and Università di Pisa (Fondi di Ateneo) is acknowledged. The first version of this paper was written during the staying of the first author at the University Jean Monnet (St. Etienne).
Received: 2 March 2018 / Revised: 25 March 2018 / Accepted: 27 March 2018 / Published: 2 April 2018
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.
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MDPI and ACS Style
Giuliano, R.; Macci, C. Large Deviation Results and Applications to the Generalized Cramér Model
. Mathematics 2018, 6, 49.
Giuliano R, Macci C. Large Deviation Results and Applications to the Generalized Cramér Model
. Mathematics. 2018; 6(4):49.
Giuliano, Rita; Macci, Claudio. 2018. "Large Deviation Results and Applications to the Generalized Cramér Model
." Mathematics 6, no. 4: 49.
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