Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields
over Primes p
Department of Mathematics & Statistics, Saint Ambrose University, 421 Ambrose Hall, 518 W. Locust St., Davenport, IA 52803, USA
Department of Mathematics, University of Iowa, 14 McLean Hall, Iowa City, IA 52242, USA
Author to whom correspondence should be addressed.
Received: 11 December 2018 / Revised: 12 February 2019 / Accepted: 15 February 2019 / Published: 19 February 2019
In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space
induced by measurable functions on p
-adic number fields
. In particular, we are interested in the cases where such free-probabilistic information is affected by primes in given closed intervals of the set
of real numbers by defining suitable “truncated” linear functionals on
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MDPI and ACS Style
Cho, I.; Jorgensen, P. Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields
over Primes p. Mathematics 2019, 7, 199.
Cho I, Jorgensen P. Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields
over Primes p. Mathematics. 2019; 7(2):199.
Cho, Ilwoo; Jorgensen, Palle. 2019. "Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields
over Primes p." Mathematics 7, no. 2: 199.
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