Mabud Ali Sarkar

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20182026

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Showing 2019Show all

3 papers · 1 filter

math.NT2019

On Rational Invariant Summation of p-Adic Power Series with Binomial Coefficient

Absos Ali Shaikh, Mabud Ali Sarkar

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…

math.NT2019

On the bases of the image of $2$ -adic logarithm on the group of principal units

Mabud Ali Sarkar, Absos Ali Shaikh

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 $Q_{2}$ . This helps one to understand t…

math.NT2019

On the image of $p$ -adic logarithm on principal units

Mabud Ali Sarkar, Absos Ali Shaikh

The $p$ -adic logarithm appears in many places in number theory. Therefore, a comprehensive description of the image of the $p$ -adic logarithm would be beneficial. In particular, it…

On Rational Invariant Summation of p-Adic Power Series with Binomial Coefficient

On the bases of the image of 2-adic logarithm on the group of principal units

On the image of p-adic logarithm on principal units

On the bases of the image of $2$ -adic logarithm on the group of principal units

On the image of $p$ -adic logarithm on principal units