Deepa Antony

works on

algebraic geometry 1 dedekind domains 1 integral forms 1 p-adic numbers 1 quotient sets 1

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math.NT2026

On $p$ -adic denseness of quotients of values of integral forms

Deepa Antony, Rupam Barman, Stevan GajoviÄ +1

The paper investigates when the set of quotients of values taken by an integral form is dense in the p‑adic numbers, proving general positive results for most primes under certain…

math.NT2024

On the $p$ -adic valuation of third order linear recurrence sequences

Deepa Antony, Rupam Barman

In a recent paper, Bilu et al. studied a conjecture of Marques and Lengyel on the $p$ -adic valuation of the Tribonacci sequence. In this article, we study the $p$ -adic valuation of…

math.NT2024

$p$ -Adic quotient sets: linear recurrence sequences with reducible characteristic polynomials

Deepa Antony, Rupam Barman

Let $(x_{n})_{n \geq 0}$ be a linear recurrence sequence 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_…

On p-adic denseness of quotients of values of integral forms

On the p-adic valuation of third order linear recurrence sequences

p-Adic quotient sets: linear recurrence sequences with reducible characteristic polynomials

On $p$ -adic denseness of quotients of values of integral forms

On the $p$ -adic valuation of third order linear recurrence sequences

$p$ -Adic quotient sets: linear recurrence sequences with reducible characteristic polynomials