Deepa Antony

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-Adic quotient sets: linear recurrence sequences

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math.NT2022★ 1 cited

$p$ -Adic quotient sets: linear recurrence sequences

Deepa Antony, Rupam Barman

Let $(x_{n})_{n \geq 0}$ be a linear recurrence of order $k \geq 2$ satisfying $x_{n} = a_{1} x_{n - 1} + a_{2} x_{n - 2} + \dots + a_{k} x_{n - k}$ for all integers $n \geq k$ , where $a_1,\dots,a_k,x_0,\dots,…

math.NT2022

On denseness of certain direction and generalized direction sets

Deepa Antony, Rupam Barman, Jaitra Chattopadhyay

Direction sets, recently introduced by Leonetti and Sanna, are generalization of ratio sets of subsets of positive integers. In this article, we generalize the notion of direction…

math.NT2022

$p$ -Adic quotient sets: diagonal forms

Deepa Antony, Rupam Barman, Piotr Miska

For a set of integers $A$ , we consider $R (A) = {a / b : a, b \in A, b \neq = 0}$ . It is an open problem to study the denseness of $R (A)$ in the $p$ -adic numbers when $A$ is the set of non…

p-Adic quotient sets: linear recurrence sequences

On denseness of certain direction and generalized direction sets

p-Adic quotient sets: diagonal forms

$p$ -Adic quotient sets: linear recurrence sequences

$p$ -Adic quotient sets: diagonal forms