Journal of the Ramanujan Mathematical Society

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On p-Adic Properties of Certain Mahler Coefficients


Affiliations
1 Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India
     

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For a fixed topological generator u of 1+pℤp, the map fn:ℤp→ℤp defined by fn(x)=(uxn) is a continuous function. In this paper we study p-adic properties of certain Mahler coefficients of fn for different values of n exploiting some combinatoridentities.
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  • On p-Adic Properties of Certain Mahler Coefficients

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Authors

Rupam Barman
Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India

Abstract


For a fixed topological generator u of 1+pℤp, the map fn:ℤp→ℤp defined by fn(x)=(uxn) is a continuous function. In this paper we study p-adic properties of certain Mahler coefficients of fn for different values of n exploiting some combinatoridentities.