Add to ORKGOne of the joys of mathematical study is the discovery of unexpected relations. In this paper we explore the strange interplay between partitions and pentagonal numbers. An important function in number theory is p n ( ) , the number of unrestricted partitions of the positive integer n, that is, the number of ways of writing n as a sum o
One of the most impressive and useful contributions to twentieth century number theory was the circl...
A partition of a whole number n is a set of whole numbers that add up to n. Typically the numbers ar...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
A partition is a way that a number can be written as a sum of other numbers. For example, the number...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
A partition of a positive number n is a representation of this number as a sum of natural numbers, c...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
A partition of a positive integer n is any non-increasing sequence of positive integers whose sum is...
In the multiplicative number theory we decompose a natural number n into prime factors and consider ...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was publ...
The partition function has been a subject of great interest for many number theorists for the past s...
Partition function P(n) is defined as the number of ways that a positive integer can be expressed as...
This paper considers the nature of partitions and many of the results surrounding them. Partitions l...
Dedicated to George Szekeres on the occasion of his 90th birthday Abstract. MacMahon devoted a signi...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
A partition of a whole number n is a set of whole numbers that add up to n. Typically the numbers ar...
In this article the rank of a partition of an integer is a certain integer associated with the parti...
A partition is a way that a number can be written as a sum of other numbers. For example, the number...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
A partition of a positive number n is a representation of this number as a sum of natural numbers, c...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
A partition of a positive integer n is any non-increasing sequence of positive integers whose sum is...
In the multiplicative number theory we decompose a natural number n into prime factors and consider ...
Let p(n) denote the number of partitions of the integer n. The first exact formula for p(n) was publ...
The partition function has been a subject of great interest for many number theorists for the past s...
Partition function P(n) is defined as the number of ways that a positive integer can be expressed as...
This paper considers the nature of partitions and many of the results surrounding them. Partitions l...
Dedicated to George Szekeres on the occasion of his 90th birthday Abstract. MacMahon devoted a signi...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
One of the most impressive and useful contributions to twentieth century number theory was the circl...
A partition of a whole number n is a set of whole numbers that add up to n. Typically the numbers ar...
In this article the rank of a partition of an integer is a certain integer associated with the parti...