Add to ORKGInternational audienceImproving on some results of J.-L. Nicolas, the elements of the set ${\cal A}={\cal A}(1+z+z^3+z^4+z^5)$, for which the partition function $p({\cal A},n)$ (i.e. the number of partitions of $n$ with parts in ${\cal A}$) is even for all $n\geq 6$ are determined. An asymptotic estimate to the counting function of this set is also given
26 pages, accepté pour publication dans le journal Functiones et approximatioInternational audienceL...
International audienceLet $d\ge 2$ be an integer. We prove that for almost all partitions of an inte...
Abstract.Let S denote a subset of the positive integers, and let pS(n) be the associated partition f...
International audienceImproving on some results of J.-L. Nicolas, the elements of the set ${\cal A}=...
International audienceLet q be an odd positive integer and P \in F2[z] be of order q and such that P...
AbstractIf A is a set of positive integers, we denote by p(A,n) the number of partitions of n with p...
We present various results on the number of prime factors of the parts of a partition of an integer....
AbstractLet n = n1 + n2 + … + nj a partition Π of n. One will say that this partition represents the...
AbstractAlthough much is known about the partition function, little is known about its parity. For t...
AbstractLet N be the set of positive integers and A a subset of N. For n∈N, let p(A,n) denote the nu...
In this paper, we establish asymptotics of radial limits for certain functions of Wright. These fun...
We improve S.-C. Chen's result on the parity of Schur's partition function. Let $A(n)$ be the number...
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of eve...
AbstractWe provide some further theorems on the partitions generated by the rank parity function. Ne...
PART I G. H. Hardy and S. Ramanujan established an asymptotic formula for the number of unrestrict...
26 pages, accepté pour publication dans le journal Functiones et approximatioInternational audienceL...
International audienceLet $d\ge 2$ be an integer. We prove that for almost all partitions of an inte...
Abstract.Let S denote a subset of the positive integers, and let pS(n) be the associated partition f...
International audienceImproving on some results of J.-L. Nicolas, the elements of the set ${\cal A}=...
International audienceLet q be an odd positive integer and P \in F2[z] be of order q and such that P...
AbstractIf A is a set of positive integers, we denote by p(A,n) the number of partitions of n with p...
We present various results on the number of prime factors of the parts of a partition of an integer....
AbstractLet n = n1 + n2 + … + nj a partition Π of n. One will say that this partition represents the...
AbstractAlthough much is known about the partition function, little is known about its parity. For t...
AbstractLet N be the set of positive integers and A a subset of N. For n∈N, let p(A,n) denote the nu...
In this paper, we establish asymptotics of radial limits for certain functions of Wright. These fun...
We improve S.-C. Chen's result on the parity of Schur's partition function. Let $A(n)$ be the number...
Recently, Andrews and Merca have given a new combinatorial interpretation of the total number of eve...
AbstractWe provide some further theorems on the partitions generated by the rank parity function. Ne...
PART I G. H. Hardy and S. Ramanujan established an asymptotic formula for the number of unrestrict...
26 pages, accepté pour publication dans le journal Functiones et approximatioInternational audienceL...
International audienceLet $d\ge 2$ be an integer. We prove that for almost all partitions of an inte...
Abstract.Let S denote a subset of the positive integers, and let pS(n) be the associated partition f...