The formulas for the coefficients of the sum and product
 of $p $-adic integers with applications to Witt vectors

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Kejian Xu, Zhaopeng Dai, Zongduo Dai Acta Arithmetica 150 (2011), 361-384 MSC: 11D88, 13F35, 11C08. DOI: 10.4064/aa150-4-3

Kejian XuCollege of Mathematics
Jilin Normal University
Siping 136000, China

and
College of Mathematics
Qingdao University
Qingdao 266071, China
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Zhaopeng DaiInstitute of System Science
Academy of Mathematics and System Science
Chinese Academy of Sciences
Beijing 100080, China
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Zongduo DaiState Key Laboratory of Information Security
Graduate School of Chinese Academy of Sciences
Beijing 100049, China
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