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

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.
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
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/196898
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact