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July 2016 A pairwise independent random sampling method in the ring of $p$-adic integers
Hiroshi Kaneko, Hisaaki Matsumoto
Osaka J. Math. 53(3): 775-798 (July 2016).


For the ring of $p$-adic integers, $p$ being a fixed prime, any sequence which plays a similar role to Weyl's irrational rotation has not been proposed yet. We will see that a modified $p$-adic van der Corput sequence provides us with a reasonable counterpart of Weyl's irrational rotation in the ring. We will present a similar random Weyl sampling on the ring to the one proposed by Sugita and Takanobu. In the process of establishing the counterpart, a sampling method based on a function with naturally extended domain to the field of $p$-adic numbers in terms of the additive characters will be mentioned.


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Hiroshi Kaneko. Hisaaki Matsumoto. "A pairwise independent random sampling method in the ring of $p$-adic integers." Osaka J. Math. 53 (3) 775 - 798, July 2016.


Published: July 2016
First available in Project Euclid: 5 August 2016

zbMATH: 1353.11089
MathSciNet: MR3533469

Primary: 11K45
Secondary: 11K85, 94A20

Rights: Copyright © 2016 Osaka University and Osaka City University, Departments of Mathematics


Vol.53 • No. 3 • July 2016
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