On convergence and rational summation of power series in p-adic field

Absos Ali Shaikh; Mabud Ali Sarkar

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arXiv · 1809.07705

On convergence and rational summation of power series in p-adic field

Absos Ali Shaikh·Mabud Ali Sarkar

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Abstract

In this paper we have discussed convergence of power series both in p-adic norm as well as real norm. We have investigated rational summability of power series with respect to both p-adic norm and real norm under certain conditions. Then we have studied convergence of specially constructed power series and derived summation formula. Finally, we have studied the adele, idele and some results regarding it with the help of convergent power series.

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Absos Ali Shaikh, Mabud Ali Sarkar. 2018-09-19. On convergence and rational summation of power series in p-adic field. https://arxiv.org/abs/1809.07705

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