2018/09/19 by Absos Ali Shaikh, Shaikh, Absos Ali, Mabud Ali Sarkar +1
Mathematics · #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #advanced mathematical theories #math.NT #msc:12J25 #msc:26E30 #msc:30G26 #msc:32P05 #msc:46S10 #msc:47S10
paper · pdf · doi:10.48550/arxiv.1809.07705
20 pages. We highly appreciate valuable comments from the interested researchers
arxiv created 2019/10/31 · arxiv updated 2019/11/01
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.