Large Deviation Results and Applications to the Generalized Cramér Model

Rita Giuliano and Claudio Macci
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Rita Giuliano: Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
Claudio Macci: Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, I-00133 Rome, Italy

Mathematics, 2018, vol. 6, issue 4, 1-12

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.

Keywords: arithmetic progressions; first Chebyshev function; products of primes; regularly varying functions; slowly varying functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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