F. Mukhamedov

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20052026

most citedOn

p

-adic Gibbs measures of countable state Potts model on the Cayley tree

57 citations · 887 across the 117 of their papers we have counts for

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4 papers · 1 filter

math.NT2019★ 28 cited

$P$ -adic monomial equations and their perturbation

Farrukh Mukhamedov, Otabek Khakimov

In this paper, we describe the set of all solutions of monomial equation $x^{k} = a$ over $Q_{p}$ . Moreover, as an application of the result, we study several perturbations of th…

math.NT2012★ 5 cited

On cubic equations over $P -$ adic field

Farrukh Mukhamedov, Bakhrom Omirov, Mansoor Saburov

We provide a solvability criteria for a depressed cubic equation in domains $\bz_p^{*},\bz_p,\bq_p$. We show that, in principal, the Cardano method is not always applicable for suc…

math.NT2011★ 37 cited

On equation $x^{q} = a$ over $\bq_p$

Farrukh Mukhamedov, Mansoor Saburov

In this paper we provide a solvability criterion for the monomial equation $x^{q} = a$ over $Q_{p}$ for any natural number $q$ .

math.NT2010★ 1 cited

Single Polygon Counting for $m$ Fixed Nodes in Cayley Tree: Two Extremal Cases

Farrukh Mukhamedov, Chin Hee Pah, Mansoor Saburov

We denote a polygon as a connected component in Cayley tree of order 2 containing certain number of fix vertices. We found an exact formula for a polygon counting problem for two c…

P-adic monomial equations and their perturbation

On cubic equations over P−adic field

On equation xq=a over $\bq_p$

Single Polygon Counting for m Fixed Nodes in Cayley Tree: Two Extremal Cases

$P$ -adic monomial equations and their perturbation

On cubic equations over $P -$ adic field

On equation $x^{q} = a$ over $\bq_p$

Single Polygon Counting for $m$ Fixed Nodes in Cayley Tree: Two Extremal Cases