Logo image
Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields Q(p) over Primes p
Journal article   Open access

Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields Q(p) over Primes p

Ilwoo Cho and Palle Jorgensen
Mathematics (Basel), Vol.7(2), 199
02/01/2019
DOI: 10.3390/math7020199
url
https://doi.org/10.3390/math7020199View
Published (Version of record) Open Access

Abstract

In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space (S pound, tau(0)) induced by measurable functions on p-adic number fields Q(p) over primes p. In particular, we are interested in the cases where such free-probabilistic information is affected by primes in given closed intervals of the set R of real numbers by defining suitable "truncated" linear functionals on S pound.
Mathematics Physical Sciences Science & Technology

Details

Metrics

Logo image