Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Sarkar, Mabud Ali"'
Autor:
Abdellatif, Ramla, Sarkar, Mabud Ali
In this paper, we construct a class of $2$-dimensional formal groups over $\mathbb{Z}_p$ that provide a higher-dimensional analogue of the usual $1$-dimensional Lubin-Tate formal groups, then we initiate the study of the extensions generated by their
Externí odkaz:
http://arxiv.org/abs/2310.05637
Autor:
Sarkar, Mabud Ali, Shaikh, Absos Ali
In this work, we study arithmetic dynamical questions for formal groups and $p$-adic dynamical systems in higher dimensions, and thus we generalize some earlier results that appeared in the literature. We identify a certain class of higher-dimensiona
Externí odkaz:
http://arxiv.org/abs/2306.01759
Autor:
Sarkar, Mabud Ali, Shaikh, Absos Ali
Publikováno v:
p-Adic Numbers, Ultrametric Analysis and Applications, 2022
Berger asked the question \enquote{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
Externí odkaz:
http://arxiv.org/abs/2106.07745
Autor:
Sarkar, Mabud Ali, Shaikh, Absos Ali
In this paper, by assuming a faithful action of a finite flat $\mathbb{Z}_p$-algebra $\mathscr{R}$ on a $p$-divisible group $\mathcal{G}$ defined over the ring of $p$-adic integers $\mathscr{O}_K$, we construct a category of new Breuil-Kisin module $
Externí odkaz:
http://arxiv.org/abs/2103.11837
Autor:
Shaikh, Absos Ali, Sarkar, Mabud Ali
In the work we have considered Breuil-Kisin module over the ring of witt vectors $W(\kappa)$ over the residue field $\kappa$ of characteristic $p$ and a finite flat $\mathbb{Z}_p$-algebra $R$. Then considered Breuil-Kisin modules $M$ over the ring $W
Externí odkaz:
http://arxiv.org/abs/2002.00746
Autor:
Shaikh, Absos Ali, Sarkar, Mabud Ali
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 prec
Externí odkaz:
http://arxiv.org/abs/1910.02842
Autor:
Sarkar, Mabud Ali, Shaikh, Absos Ali
Publikováno v:
Graduate Journal of Mathematics, 8(2023), 69-77
This paper computes the bases of the image of $2$-adic logarithm on the group of the principal units in all 7 quadratic extensions of $\mathbb{Q}_2$. This helps one to understand the free module structure of $2$-adic logarithm at arbitrary points on
Externí odkaz:
http://arxiv.org/abs/1907.06437
Autor:
Sarkar, Mabud Ali, Shaikh, Absos Ali
The $p$-adic logarithm appears in many places in number theory. Hence having a good description of the image of the $p$-adic logarithm could be useful, and in particular, to figure out the image of $1 + \mathfrak{m}_K$, where $K$ is an algebraic exte
Externí odkaz:
http://arxiv.org/abs/1904.09850
Autor:
Shaikh, Absos Ali, Sarkar, Mabud Ali
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 stud
Externí odkaz:
http://arxiv.org/abs/1809.07705
Autor:
Sarkar, Mabud Ali, Shaikh, Absos Ali
Publikováno v:
P-Adic Numbers, Ultrametric Analysis & Applications; Jun2022, Vol. 14 Issue 2, p157-163, 7p
