Add to ORKGThe starting point of this thesis is a generalization of polygonal numbers to an arbitrary dimension. Three kinds of numbers are obtained: figurate numbers, powers of numbers, and a third kind, believed to be new, hyperoctahedral numbers. [...
We search for distinct sets of polygonal numbers and centered polygonal numbers a, b, c such that th...
Figurate numbers have simple geometric illustration: polygonal numbers can be represented by polygon...
In the article the formal characterization of triangular numbers (famous from [15] and words “EYPHKA...
Motivated by some earlier Diophantine works on triangular numbers by Ljungreen and Cassels, we consi...
A polygonal number is a type of figurate number that is a generalization of triangular, square, etc....
We consider a Diophantine equation arising from a generalization of the classical Lucas problem of t...
Among several interesting types of numbers that exist in mathematics, polygonal numbers are so speci...
This book contains short notes or articles, as well as studies on several topics of Geometry and Num...
ABSTRACT. We consider a Diophantine equation arising from a generalization of the classical Lucas pr...
Consider a polyhedron. For example, a platonic, an arquemidean, or a dual of an arquemidean polyhedr...
AbstractThe last proposition of Diophantus’ De polygonis numeris, inquiring the number of ways that ...
Abstract. In the eighteenth century, both square numbers and triangular num-bers were investigated b...
Abstract. The paper Pythagorean triples of Polygonal Numbers [3] called our attention to search on a...
This volume contains a fairly complete picture of the geometry of numbers, including relations to ot...
From the reviews of the first printing of this book, published as Volume 60 of the Encyclopaedia of ...
We search for distinct sets of polygonal numbers and centered polygonal numbers a, b, c such that th...
Figurate numbers have simple geometric illustration: polygonal numbers can be represented by polygon...
In the article the formal characterization of triangular numbers (famous from [15] and words “EYPHKA...
Motivated by some earlier Diophantine works on triangular numbers by Ljungreen and Cassels, we consi...
A polygonal number is a type of figurate number that is a generalization of triangular, square, etc....
We consider a Diophantine equation arising from a generalization of the classical Lucas problem of t...
Among several interesting types of numbers that exist in mathematics, polygonal numbers are so speci...
This book contains short notes or articles, as well as studies on several topics of Geometry and Num...
ABSTRACT. We consider a Diophantine equation arising from a generalization of the classical Lucas pr...
Consider a polyhedron. For example, a platonic, an arquemidean, or a dual of an arquemidean polyhedr...
AbstractThe last proposition of Diophantus’ De polygonis numeris, inquiring the number of ways that ...
Abstract. In the eighteenth century, both square numbers and triangular num-bers were investigated b...
Abstract. The paper Pythagorean triples of Polygonal Numbers [3] called our attention to search on a...
This volume contains a fairly complete picture of the geometry of numbers, including relations to ot...
From the reviews of the first printing of this book, published as Volume 60 of the Encyclopaedia of ...
We search for distinct sets of polygonal numbers and centered polygonal numbers a, b, c such that th...
Figurate numbers have simple geometric illustration: polygonal numbers can be represented by polygon...
In the article the formal characterization of triangular numbers (famous from [15] and words “EYPHKA...