Satyanand Singh

activity

20132021

most citedThe (u,v)-Calkin-Wilf Forest

9 citations · 12 across the 7 of their papers we have counts for

collaborators

8 papers

math.GR2021

Solving the membership problem for certain subgroups of $S L_{2} (Z)$

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

For positive integers $u$ and $v$ , let $L_{u} = [1 u 01]$ and $R_{v} = [10 v 1]$ . Let $G_{u, v}$ be the group generated by $…

math.GR2019★ 1 cited

Subgroups of $S L_{2} (Z)$ characterized by certain continued fraction representations

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

For positive integers $u$ and $v$ , let $L_{u} = [1 u 01]$ and $R_{v} = [10 v 1]$ . Let $S_{u, v}$ be the monoid genera…

math.NT2019

Limit points of Nathanson's Lambda sequences

Satyanand Singh

We consider the set $A_{n} = \cup_{j = 0}^{\infty} {ε_{j} (n) \cdot n^{j} : ε_{j} (n) \in {0, \pm 1, \pm 2, ..., \pm ⌊ n / 2 ⌋}}$ . Let $\mathcal…

math.NT2018★ 1 cited

Mean Row Values in $(u, v)$ -Calkin-Wilf Trees

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

We fix integers $u, v \geq 1$ , and consider an infinite binary tree $T^{(u, v)} (z)$ with a root node whose value is a positive rational number $z$ . For every vertex $a / b$ ,…

math.NT2017

Maximal entries of elements in certain matrix monoids

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

Let $L_{u} = [1 u 01]$ and $R_{v} = [10 v 1]$ be matrices in $S L_{2} (Z)$ with $u, v \geq 1$ . Since the monoid generated…

math.NT2015★ 1 cited

Orphans in Forests of Linear Fractional Transformations

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

This paper studies the set of orphans in certain Calkin-Wilf trees generated by linear fractional transformations.

math.NT2014★ 9 cited

The (u,v)-Calkin-Wilf Forest

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

In this paper we consider a refinement, due to Nathanson, of the Calkin-Wilf tree. In particular, we study the properties of such trees associated with the matrices $L_u=\begin{bma…

math.NT2013

Perfect Powers of Five with Few Ternary Digits

Satyanand Singh

In this note we will analyze a diophantine equation raised by Michael Bennett in [1] that is pivotal in establishing that powers of five has few digits in its ternary expansion. We…

Solving the membership problem for certain subgroups of SL2​(Z)

Subgroups of SL2​(Z) characterized by certain continued fraction representations

Limit points of Nathanson's Lambda sequences

Mean Row Values in (u,v)-Calkin-Wilf Trees

Maximal entries of elements in certain matrix monoids

Orphans in Forests of Linear Fractional Transformations

The (u,v)-Calkin-Wilf Forest

Perfect Powers of Five with Few Ternary Digits

Solving the membership problem for certain subgroups of $S L_{2} (Z)$

Subgroups of $S L_{2} (Z)$ characterized by certain continued fraction representations

Mean Row Values in $(u, v)$ -Calkin-Wilf Trees