Markov processes on the adeles and Dedekind’s zeta function
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.
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Volume (Year): 82 (2012)
Issue (Month): 8 ()
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- Albeverio, Sergio & Karwowski, Witold, 1994. "A random walk on p-adics--the generator and its spectrum," Stochastic Processes and their Applications, Elsevier, vol. 53(1), pages 1-22, September.
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