Add to ORKGAbstract. Motivated by a recent conjecture of the second author related to the ternary partition function, we provide an elegant characterization of the values bm(mn) modulo m where bm(n) is the number of m-ary partitions of the integer n and m ≥ 2 is a fixed integer
AbstractFor positive integers l, n, k we say that M = M(n, k) = {n, n + 1, ..., n + k} has an l-part...
Recently, Hirschhorn and the first author considered the parity of the function a(n) which counts th...
AbstractPartitions of integers of the type mn as a sum of powers of m (the so-called m-ary partition...
Abstract. In a recent work, the authors provided the first-ever characteri-zation of the values bm(n...
AbstractLet bm(n) denote the number of partitions of n into powers of m. Define σr=ε2m2+ε3m3+…+εrmr,...
Let bm(n) denote the number of partitions of n into powers of m. Define σr = ε2m 2 + ε3m 3 + · · ·...
AbstractIf b(m;n) denotes the number of partitions of n into powers of m, then b(m; mr+1n) ≡ b(m; mr...
Let (Formula presented.) denote the number of partitions of (Formula presented.) into parts that are...
AbstractLet bℓ(n) denote the number of ℓ-regular partitions of n, where ℓ is a positive power of a p...
Let n be a positive integer. A partition of n is a sequence of non-increasing positive integ...
AbstractLet p(n) be the number of partitions of a non-negative integer n. In this paper we prove tha...
AbstractWe discuss a family of restricted m-ary partition functions bm,j(s)(n), which is the number ...
For a fixed integer m ≥ 2, we say that a partition n = p1 + p2 + · · · + pk of a natural number n ...
Numerous functions which enumerate partitions into powers of a fixed number m have been studied ever...
AbstractFor positive integers l, n, k we say that M = M(n, k) = {n, n + 1, ..., n + k} has an l-part...
AbstractFor positive integers l, n, k we say that M = M(n, k) = {n, n + 1, ..., n + k} has an l-part...
Recently, Hirschhorn and the first author considered the parity of the function a(n) which counts th...
AbstractPartitions of integers of the type mn as a sum of powers of m (the so-called m-ary partition...
Abstract. In a recent work, the authors provided the first-ever characteri-zation of the values bm(n...
AbstractLet bm(n) denote the number of partitions of n into powers of m. Define σr=ε2m2+ε3m3+…+εrmr,...
Let bm(n) denote the number of partitions of n into powers of m. Define σr = ε2m 2 + ε3m 3 + · · ·...
AbstractIf b(m;n) denotes the number of partitions of n into powers of m, then b(m; mr+1n) ≡ b(m; mr...
Let (Formula presented.) denote the number of partitions of (Formula presented.) into parts that are...
AbstractLet bℓ(n) denote the number of ℓ-regular partitions of n, where ℓ is a positive power of a p...
Let n be a positive integer. A partition of n is a sequence of non-increasing positive integ...
AbstractLet p(n) be the number of partitions of a non-negative integer n. In this paper we prove tha...
AbstractWe discuss a family of restricted m-ary partition functions bm,j(s)(n), which is the number ...
For a fixed integer m ≥ 2, we say that a partition n = p1 + p2 + · · · + pk of a natural number n ...
Numerous functions which enumerate partitions into powers of a fixed number m have been studied ever...
AbstractFor positive integers l, n, k we say that M = M(n, k) = {n, n + 1, ..., n + k} has an l-part...
AbstractFor positive integers l, n, k we say that M = M(n, k) = {n, n + 1, ..., n + k} has an l-part...
Recently, Hirschhorn and the first author considered the parity of the function a(n) which counts th...
AbstractPartitions of integers of the type mn as a sum of powers of m (the so-called m-ary partition...