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.File in questo prodotto:
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