V. Nitica

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20162019

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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…

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

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

High degree $b$ -Niven numbers