Mathematics – Number Theory
Scientific paper
2011-06-28
Mathematics
Number Theory
10 pages
Scientific paper
Let $K$ be an algebraic number field. We construct an additive Markov process $X_t^{K_\mathbb A}$ on the ring of adeles $K_\mathbb A,$ whose coordinates $X_t^{(v)}$ are independent and use this process to give a probabilistic interpretation of the Dedekind zeta function $\zeta_K(s),$ for $\re s>1.$ This note extends a recent work of Yasuda [J. Theor. Probab. 23(3):748--769, 2010] where the case of the field $K=\Q$ of rational numbers was considered.
Urban Roman
No associations
LandOfFree
Markov processes on the adeles and Dedekind's zeta function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Markov processes on the adeles and Dedekind's zeta function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Markov processes on the adeles and Dedekind's zeta function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-41013