AbstractWe first give a bijective proof of Gould's identity in the model of binary words. Then we deduce Rothe's identity from Gould's identity again by a bijection, which also leads to a double-sum extension of the q-Chu-Vandermonde formula
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractBy applying the duplicate form of Carlitz inversions to three special cases of the q-Saalsch...
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this articl...
summary:In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \bi...
AbstractWe prove a general identity for a F23 hypergeometric function over a finite field Fq, where ...
AbstractWe give a simple proof of Jackson's terminating q-analogue of Dixon's identity
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractThe ψ-operator for (ϕ,Γ)-modules plays an important role in the study of Iwasawa theory via ...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
[[abstract]]We give a direct proof of a recent generating function identity of Andrews and Sellers o...
AbstractBy generalizing Gessel–Xin's Laurent series method for proving the Zeilberger–Bressoud q-Dys...
AbstractWe use an upper bound on the number of zeros of sparse polynomials over a finite field Fq to...
By applying multiplicate forms of the Carlitz inverse series relations to the $q$-Pfaff-Saalschtz su...
AbstractWe give proofs of a list of M. Somos' dissection identities. An eta function identity presen...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractBy applying the duplicate form of Carlitz inversions to three special cases of the q-Saalsch...
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this articl...
summary:In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \bi...
AbstractWe prove a general identity for a F23 hypergeometric function over a finite field Fq, where ...
AbstractWe give a simple proof of Jackson's terminating q-analogue of Dixon's identity
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractThe ψ-operator for (ϕ,Γ)-modules plays an important role in the study of Iwasawa theory via ...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
[[abstract]]We give a direct proof of a recent generating function identity of Andrews and Sellers o...
AbstractBy generalizing Gessel–Xin's Laurent series method for proving the Zeilberger–Bressoud q-Dys...
AbstractWe use an upper bound on the number of zeros of sparse polynomials over a finite field Fq to...
By applying multiplicate forms of the Carlitz inverse series relations to the $q$-Pfaff-Saalschtz su...
AbstractWe give proofs of a list of M. Somos' dissection identities. An eta function identity presen...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractBy applying the duplicate form of Carlitz inversions to three special cases of the q-Saalsch...
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this articl...
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