Add to ORKGThe study of Ramanujan-type congruences for functions specific to additive number theory has a long and rich history. Motivated by recent connections between divisor sums and overpartitions via congruences in arithmetic progressions, we investigate the existence and classification of Ramanujan-type congruences for functions in multiplicative number theory.Comment: Corrects typos pointed out by anonymous refere
In this paper we study the function $b_3(n)$ and $b_5(n)$, which denote the number of $3$-regular pa...
In this article, we consider various arithmetic properties of the function po(n) which denotes the n...
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...
In this article we exhibit new explicit families of congruences for the overpartition function, maki...
2Abstract. Eighty years ago, Ramanujan conjectured and proved some striking con-gruences for the par...
The study into specific properties of the partition function has been a rich topic for number theori...
AbstractThe discovery of some partition function congruences by Ramanujan, and subsequent research m...
We study new classes of overpartitions of numbers based on the properties of non-overlined parts. Se...
Sang, Shi and Yee, in 2020, found overpartition analogs of Andrews' results involving parity in Roge...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
This paper provides algebraic proofs for several types of congruences involving the multipartition f...
Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent Unive...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
MacMahon provided Ramanujan and Hardy a table of values for p(n) with the partitions of the first 20...
AbstractThe three sequences mentioned in the title are Ramanujan's τ-function, the coefficients cn o...
In this paper we study the function $b_3(n)$ and $b_5(n)$, which denote the number of $3$-regular pa...
In this article, we consider various arithmetic properties of the function po(n) which denotes the n...
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...
In this article we exhibit new explicit families of congruences for the overpartition function, maki...
2Abstract. Eighty years ago, Ramanujan conjectured and proved some striking con-gruences for the par...
The study into specific properties of the partition function has been a rich topic for number theori...
AbstractThe discovery of some partition function congruences by Ramanujan, and subsequent research m...
We study new classes of overpartitions of numbers based on the properties of non-overlined parts. Se...
Sang, Shi and Yee, in 2020, found overpartition analogs of Andrews' results involving parity in Roge...
AbstractOn page 189 in his lost notebook, Ramanujan recorded five assertions about partitions. Two a...
This paper provides algebraic proofs for several types of congruences involving the multipartition f...
Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent Unive...
AbstractIn a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found cong...
MacMahon provided Ramanujan and Hardy a table of values for p(n) with the partitions of the first 20...
AbstractThe three sequences mentioned in the title are Ramanujan's τ-function, the coefficients cn o...
In this paper we study the function $b_3(n)$ and $b_5(n)$, which denote the number of $3$-regular pa...
In this article, we consider various arithmetic properties of the function po(n) which denotes the n...
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...