AbstractIn this paper, we study partitions of positive integers into distinct quasifibonacci numbers. A digraph and poset structure is constructed on the set of such partitions. Furthermore, we discuss the symmetric and recursive relations between these posets. Finally, we prove a strong generalization of Robbins' result on the coefficients of a quasifibonacci power series
AbstractThe expressions ϕ(n)+σ(n)−3n and ϕ(n)+σ(n)−4n are unusual among linear combinations of arith...
AbstractNew lower bounds are given for the sum of degrees of simple and distinct irreducible factors...
AbstractEuler's partition theorem states that the number of partitions of an integer N into odd part...
AbstractWe study the number of lattice points in integer dilates of the rational polytope P={(x1,…,x...
AbstractA new expansion is given for partial sums of Eulerʼs pentagonal number series. As a corollar...
AbstractWe provide some further theorems on the partitions generated by the rank parity function. Ne...
Recently introduced by the authors in [Proc. Edinb. Math. Soc. 60 (2020), 139-167], quasi-densities ...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractIf A is a set of positive integers, we denote by p(A,n) the number of partitions of n with p...
AbstractRecently Andrews proposed a problem of finding a combinatorial proof of an identity on the q...
AbstractIn this paper, we introduce a class of Cantor sets, which can be put into a one-to-one corre...
AbstractWe give proofs of a list of M. Somos' dissection identities. An eta function identity presen...
AbstractLet xN,i(n) denote the number of partitions of n with difference at least N and minimal comp...
In this paper a new method of generating identities for Fibonacci and Lu- cas numbers is presented....
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of eve...
AbstractThe expressions ϕ(n)+σ(n)−3n and ϕ(n)+σ(n)−4n are unusual among linear combinations of arith...
AbstractNew lower bounds are given for the sum of degrees of simple and distinct irreducible factors...
AbstractEuler's partition theorem states that the number of partitions of an integer N into odd part...
AbstractWe study the number of lattice points in integer dilates of the rational polytope P={(x1,…,x...
AbstractA new expansion is given for partial sums of Eulerʼs pentagonal number series. As a corollar...
AbstractWe provide some further theorems on the partitions generated by the rank parity function. Ne...
Recently introduced by the authors in [Proc. Edinb. Math. Soc. 60 (2020), 139-167], quasi-densities ...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractIf A is a set of positive integers, we denote by p(A,n) the number of partitions of n with p...
AbstractRecently Andrews proposed a problem of finding a combinatorial proof of an identity on the q...
AbstractIn this paper, we introduce a class of Cantor sets, which can be put into a one-to-one corre...
AbstractWe give proofs of a list of M. Somos' dissection identities. An eta function identity presen...
AbstractLet xN,i(n) denote the number of partitions of n with difference at least N and minimal comp...
In this paper a new method of generating identities for Fibonacci and Lu- cas numbers is presented....
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of eve...
AbstractThe expressions ϕ(n)+σ(n)−3n and ϕ(n)+σ(n)−4n are unusual among linear combinations of arith...
AbstractNew lower bounds are given for the sum of degrees of simple and distinct irreducible factors...
AbstractEuler's partition theorem states that the number of partitions of an integer N into odd part...
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