This is a consequence of our earlier paper tit led ‘Generalizat ion of concatenation numbers”. In this paper we extend concatenation of two square numbers in sums, as well as some divisibility observations among them
Let n be a positive integer. Let (Formula presented.) denote the difference between the number of (p...
This dissertation focuses on three problems in analytic number theory, one of a multiplicative natur...
Combinatorial sums and binomial identities have appeared in many branches of mathematics, physics, a...
Concatenation of two square numbers may be familiar to number theorists. In this paper, we addressed...
The definition of “concatenation” in mathematics is, according to Wikipedia, “the joining of two num...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
summary:Let $a$ and $b\in \mathbb {N}$. Denote by $R_{a,b}$ the set of all integers $n>1$ whose cano...
We find an infinite family of positive integers a such that concatenating a and a − 1 in base 10 (fr...
International audienceThe concatenation product is one of the most important operations on regular l...
A preprint We present a relatively simple proof, alternative to A. Visser’s proof in his Growing com...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
In a recent article, Apagodu and Zeilberger discuss some applications of an algorithm for finding an...
This thesis shows that the properties of integers and rings of Gaussian integers have analogous prop...
Knowledge about number theory and representations of numbersLagrange proved that every positive inte...
Abstract We give two extensions of the classical formula for sums of powers on arithmetic progressio...
Let n be a positive integer. Let (Formula presented.) denote the difference between the number of (p...
This dissertation focuses on three problems in analytic number theory, one of a multiplicative natur...
Combinatorial sums and binomial identities have appeared in many branches of mathematics, physics, a...
Concatenation of two square numbers may be familiar to number theorists. In this paper, we addressed...
The definition of “concatenation” in mathematics is, according to Wikipedia, “the joining of two num...
The purpose of this book is to show that the method of concatenation can be a powerful tool in numbe...
summary:Let $a$ and $b\in \mathbb {N}$. Denote by $R_{a,b}$ the set of all integers $n>1$ whose cano...
We find an infinite family of positive integers a such that concatenating a and a − 1 in base 10 (fr...
International audienceThe concatenation product is one of the most important operations on regular l...
A preprint We present a relatively simple proof, alternative to A. Visser’s proof in his Growing com...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
In a recent article, Apagodu and Zeilberger discuss some applications of an algorithm for finding an...
This thesis shows that the properties of integers and rings of Gaussian integers have analogous prop...
Knowledge about number theory and representations of numbersLagrange proved that every positive inte...
Abstract We give two extensions of the classical formula for sums of powers on arithmetic progressio...
Let n be a positive integer. Let (Formula presented.) denote the difference between the number of (p...
This dissertation focuses on three problems in analytic number theory, one of a multiplicative natur...
Combinatorial sums and binomial identities have appeared in many branches of mathematics, physics, a...