Add to ORKGsummary:The article deals with the number of divisors of an integer. The formula for this number is derived and it is used in examples
summary:The article deals with a sum of the highest even and odd divisors of numbers $1, 2, 3,\ldots...
We estimate the density of integers which have more than one divisor in an interval (y, z] with z ≈ ...
Let n> 1 be a positive integer, and n = pα11 · · · pαrr its prime factorization. A number d | n...
summary:The article derives the formula for the sum of the $k$-th powers of positive integers from $...
In this edition of ‘Adventures’ we study a curious problem concerning the divisors of a certain num...
summary:The article presents seven mathematical problems concerning divisibility and their solutions...
AbstractLet d(n) denote the number of positive integers dividing the positive integer n. We show tha...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
Let d ≥ 1, k ≥ 2, n ≥ 1 and y ≥ 1 be integers with gcd(n, d) = 1. We write ∆ = ∆(n, d, k) = n(n+ ...
summary:Článek představuje zjednodušené základy teorie kvadratických zbytků a algebraické teorie čís...
summary:Autor píše o tom, proč by se měla „kalkulačka“ používat k určování nejmenšího společného nás...
summary:The article presents the possibility of extending the high school definition of combinatoria...
summary:The article deals with the number of digits in the decimal representation of the number $2^2...
summary:In this article, the formula of the sum of the first n natural numbers is derived and then i...
Let I s consider the function d(i) = number of divisors of the positive integer number i. We have fo...
summary:The article deals with a sum of the highest even and odd divisors of numbers $1, 2, 3,\ldots...
We estimate the density of integers which have more than one divisor in an interval (y, z] with z ≈ ...
Let n> 1 be a positive integer, and n = pα11 · · · pαrr its prime factorization. A number d | n...
summary:The article derives the formula for the sum of the $k$-th powers of positive integers from $...
In this edition of ‘Adventures’ we study a curious problem concerning the divisors of a certain num...
summary:The article presents seven mathematical problems concerning divisibility and their solutions...
AbstractLet d(n) denote the number of positive integers dividing the positive integer n. We show tha...
There is a body of work in the literature on various restricted sums of the number of divisors of an...
Let d ≥ 1, k ≥ 2, n ≥ 1 and y ≥ 1 be integers with gcd(n, d) = 1. We write ∆ = ∆(n, d, k) = n(n+ ...
summary:Článek představuje zjednodušené základy teorie kvadratických zbytků a algebraické teorie čís...
summary:Autor píše o tom, proč by se měla „kalkulačka“ používat k určování nejmenšího společného nás...
summary:The article presents the possibility of extending the high school definition of combinatoria...
summary:The article deals with the number of digits in the decimal representation of the number $2^2...
summary:In this article, the formula of the sum of the first n natural numbers is derived and then i...
Let I s consider the function d(i) = number of divisors of the positive integer number i. We have fo...
summary:The article deals with a sum of the highest even and odd divisors of numbers $1, 2, 3,\ldots...
We estimate the density of integers which have more than one divisor in an interval (y, z] with z ≈ ...
Let n> 1 be a positive integer, and n = pα11 · · · pαrr its prime factorization. A number d | n...