Mabud Ali SarkarUniversity of Burdwan | B.U. · Department of Mathematics
Mabud Ali Sarkar
My website- https://sites.google.com/view/mabudalisarkar/home
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March 2018 - present
Berger asked the question "To what extent the preperiodic points of a stable p-adic power series determines a stable p-adic dynamical system ?" In this work we have applied the preperiodic points of a stable p-adic power series in order to determine the corresponding stable p-adic dynamical system.
The main objective of this paper is to find out the image of the maximal ideal $m_k=\pi O_k$ of the ring $O_k$ in the finite extension of p-adic logarithmic series induced by formal group law.
In the work we have considered p-adic functional series with binomial coefficients and discussed its p-adic convergence. Then we have derived a recurrence relation following with a summation formula which is invariant for rational argument. More particularly, we have investigated certain condition so that the p-adic series converges and gives ratio...
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 hav...