Add to ORKGIn this paper, we generalize the Gessel-Xin's Laurent series method and show it is related to the theory of tournaments. We also construct two sets of tournaments and each of them leads to a q-Dyson type constant term identities
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractRamanujan recorded additive formulae of theta functions that are related to modular equation...
Let S = (s1, s2, . . .) be any sequence of nonnegative integers and let Sk = ∑ki=1si. We then define...
AbstractBy generalizing Gessel–Xin's Laurent series method for proving the Zeilberger–Bressoud q-Dys...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this articl...
Let a, b, c, d be complex numbers with d 6= 0 and |q| \u3c 1. Define H1(a, b, c, d, q) := 1 1 + −abq...
In terms of the operator method, we prove two conjectural series for $\pi$ of Sun involving harmonic...
By applying multiplicate forms of the Carlitz inverse series relations to the $q$-Pfaff-Saalschtz su...
summary:In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \bi...
AbstractA pair of sequences (αn(a,k,q),βn(a,k,q)) such that α0(a,k,q)=1 and βn(a,k,q)=∑j=0n(k/a;q)n−...
AbstractBailey's fundamental identity of bilateral well-poised ψ66-series is utilized to present sho...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
AbstractWe introduce the error-sum function of Lüroth series. Some elementary properties of this fun...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractRamanujan recorded additive formulae of theta functions that are related to modular equation...
Let S = (s1, s2, . . .) be any sequence of nonnegative integers and let Sk = ∑ki=1si. We then define...
AbstractBy generalizing Gessel–Xin's Laurent series method for proving the Zeilberger–Bressoud q-Dys...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this articl...
Let a, b, c, d be complex numbers with d 6= 0 and |q| \u3c 1. Define H1(a, b, c, d, q) := 1 1 + −abq...
In terms of the operator method, we prove two conjectural series for $\pi$ of Sun involving harmonic...
By applying multiplicate forms of the Carlitz inverse series relations to the $q$-Pfaff-Saalschtz su...
summary:In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \bi...
AbstractA pair of sequences (αn(a,k,q),βn(a,k,q)) such that α0(a,k,q)=1 and βn(a,k,q)=∑j=0n(k/a;q)n−...
AbstractBailey's fundamental identity of bilateral well-poised ψ66-series is utilized to present sho...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
AbstractWe introduce the error-sum function of Lüroth series. Some elementary properties of this fun...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractRamanujan recorded additive formulae of theta functions that are related to modular equation...
Let S = (s1, s2, . . .) be any sequence of nonnegative integers and let Sk = ∑ki=1si. We then define...