期刊： ANNALS OF COMBINATORICS, 2021; 25 (1)
We obtain q-analogues of several series for powers of pi. For example, the identity Sigma(infinity)(k=0) (-1)(k)/(2k + 1)(3) = pi(3)/32 has the follow......
期刊： ANNALS OF COMBINATORICS, 2021; 25 (1)
We obtain q-analogues of several series for powers of pi. For example, the identity Sigma(infinity)(k=0) (-1)(k)/(2k + 1)(3) = pi(3)/32 has the follow......
期刊： ANNALS OF COMBINATORICS, 2020; 24 (2)
In a series of papers, Dartyge and Sarkozy (partly with other coauthors) studied pseudorandom subsets. In this paper, we study the minimal values of c......
期刊： ANNALS OF COMBINATORICS, 2019; 23 (3-4)
This paper is concerned with a class of partition functions a(n) introduced by Radu and defined in terms of eta-quotients. By utilizing the transforma......
期刊： ANNALS OF COMBINATORICS, 2019; 23 (3-4)
We examine two truncated series derived from a classical theta identity of Gauss. As a consequence, we obtain two infinite families of inequalities fo......
期刊： ANNALS OF COMBINATORICS, 2019; 23 (3-4)
For an integer m >= 2, a partition lambda = (lambda(1), lambda(2),...) is called m-falling, a notion introduced by Keith, if the least non-negative......
期刊： ANNALS OF COMBINATORICS, 2019; 23 (3-4)
In this paper, we generalize the Andrews-Yee identities associated with the third-order mock theta functions.(q) and.(q). We obtain some q-series tran......
期刊： ANNALS OF COMBINATORICS, 2018; 22 (1)
We show that a complete bipartite graph , where p is an odd prime, has an edge-transitive embedding in an orientable surface with all faces bounded by......
期刊： ANNALS OF COMBINATORICS, 2017; 21 (4)
In this paper, we introduce the symmetrized positive rank and crank moments of overpartitions and obtain some inequalities between them. These results......
