Shanta Laishram

activity

20102023

collaborators

4 papers

math.NT2023

$p$ -numerical semigroup of generalized Fibonacci triples

Takao Komatsu, Shanta Laishram, Pooja Punyani

For a nonnegative integer $p$ , we give explicit formulas for the $p$ -Frobenius number and the $p$ -genus of generalized Fibonacci numerical semigroups. Here, the $p$ -numerical semig…

math.NT2016

Sums of the digits in bases 2 and 3

Jean-Marc Deshouillers, Laurent Habsieger, Shanta Laishram +1

Let b $\geq$ 2 be an integer and let s b (n) denote the sum of the digits of the representation of an integer n in base b. For sufficiently large N , one has Card{n $\leq$ N : |s 3 (…

math.NT2010

The sum of digits of $n$ and $n^{2}$

K. G. Hare, S. Laishram, T. Stoll

Let $s_{q} (n)$ denote the sum of the digits in the $q$ -ary expansion of an integer $n$ . In 2005, Melfi examined the structure of $n$ such that $s_{2} (n) = s_{2} (n^{2})$ . We extend this stu…

math.NT2010

Stolarsky's conjecture and the sum of digits of polynomial values

K. G. Hare, S. Laishram, T. Stoll

Let $s_{q} (n)$ denote the sum of the digits in the $q$ -ary expansion of an integer $n$ . In 1978, Stolarsky showed that $n \to \infty lim inf \frac{s _{2} ( n ^{2} )}{s _{2} ( n )} = 0.$ He conj…

p-numerical semigroup of generalized Fibonacci triples

Sums of the digits in bases 2 and 3

The sum of digits of n and n2

Stolarsky's conjecture and the sum of digits of polynomial values

$p$ -numerical semigroup of generalized Fibonacci triples

The sum of digits of $n$ and $n^{2}$