V. Nitica

activity

20162019

collaborators

6 papers

math.NT2019

About Some Relatives of Palindromes

Viorel Nitica, Andrei Török

We introduce two new classes of integers. The first class consists of numbers $N$ for which there exists at least one nonnegative integer $A$ , such that the sum of $A$ and the sum…

math.NT2018

Infinite sets of $b$ -additive and $b$ -multiplicative Ramanujan-Hardy numbers

Viorel Nitica

Let $b$ be a numeration base. A $b$ -additive Ramanujan-Hardy number $N$ is an integer for which there exists at least an integer $M$ , called additive multiplier, such that the prod…

math.NT2018

High degree $b$ -Niven numbers

Viorel Nitica

Let $b$ be a numeration base. A $b$ -Niven number is one that is divisible by the sum of its base $b$ digits. We introduce high degree $b$ -Niven numbers. These are $b$ -Niven numbers…

math.NT2018

About Some Relatives of the Taxicab Number

Viorel Nitica

The taxicab number, $1729$ , has the following property. If we add its digits we obtain $19$ . The number obtained from $19$ by reversing the order of its digits is $91$ . If we multi…

math.CO2017

The tilings of deficient squares by ribbon L-tetrominoes are diagonally cracked

Viorel Nitica

We consider tilings of deficient rectangles by the set $T_{4}$ of ribbon $L$ -tetrominoes. A tiling exists iff the rectangle is a square of odd side. The missing cell is on…

math.CO2016

Signed tilings by ribbon L n-ominoes, n even, via Groebner bases

Kenneth Gill, Viorel Nitica

Let $T_{n}$ be the set of ribbon $L$ -shaped $n$ -ominoes for some $n \geq 4$ even, and let $T_{n}^{+}$ be $T_{n}$ with an extra $2 \times 2$ square. We investigat…

About Some Relatives of Palindromes

Infinite sets of b-additive and b-multiplicative Ramanujan-Hardy numbers

High degree b-Niven numbers

About Some Relatives of the Taxicab Number

The tilings of deficient squares by ribbon L-tetrominoes are diagonally cracked

Signed tilings by ribbon L n-ominoes, n even, via Groebner bases

Infinite sets of $b$ -additive and $b$ -multiplicative Ramanujan-Hardy numbers

High degree $b$ -Niven numbers