Markov processes on the adeles and Dedekind’s zeta function

Roman Urban

Statistics & Probability Letters, 2012, vol. 82, issue 8, 1583-1589

Abstract: We construct an additive Markov process on the ring of adeles of an algebraic number field and use this process to give a probabilistic interpretation of the Dedekind zeta function. This note extends and clarifies a recent work of Yasuda where the Riemann zeta function was considered.

Keywords: Adele ring; Algebraic number fields; Dedekind’s zeta function, Markov process; Semi-stable processes on local fields (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.spl.2012.04.018

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