On convergence and rational summation of power series in p-adic field
Number Theory
2019-11-01 v9
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.
Cite
@article{arxiv.1809.07705,
title = {On convergence and rational summation of power series in p-adic field},
author = {Absos Ali Shaikh and Mabud Ali Sarkar},
journal= {arXiv preprint arXiv:1809.07705},
year = {2019}
}
Comments
20 pages. We highly appreciate valuable comments from the interested researchers