DOIAbstract
AbstractBy elementary manipulations of q-series, two identities involving sums of three squares or three triangular numbers are proved. As a corollary, Legendre′s three squares theorem is proved
AbstractBy elementary manipulations of q-series, two identities involving sums of three squares or three triangular numbers are proved. As a corollary, Legendre′s three squares theorem is proved
Abstract. We give a variety of results involving s(n), the number of representations of n as a sum o...
AbstractSome examples of naturally arising multisum q-series which turn out to have representations ...
AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences....
This report is concerned about q-series and some of their applications. Firstly, Jacobi’s q-series p...
We present alternative, q-hypergeometric proofs of some polynomial analogues of classical q-series i...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
AbstractA survey of identities connected with sums of three squares, 2-dimensional subalgebras of th...
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
AbstractIn this paper, we prove some identities for the alternating sums of squares and cubes of the...
We use the q-binomial theorem to prove three new polynomial identities involving q-trinomial coecien...
The thesis discusses classical number theory problems on representations of integers by sums of two,...
Two identities required in the theory of fountains and histograms are easily proved by expanding a t...
Jacobi's four squares theorem asserts that the number of representations of a positive integer n as ...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
AbstractIn the study of partition theory and q-series, identities that relate series to infinite pro...
Abstract. We give a variety of results involving s(n), the number of representations of n as a sum o...
AbstractSome examples of naturally arising multisum q-series which turn out to have representations ...
AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences....
This report is concerned about q-series and some of their applications. Firstly, Jacobi’s q-series p...
We present alternative, q-hypergeometric proofs of some polynomial analogues of classical q-series i...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
AbstractA survey of identities connected with sums of three squares, 2-dimensional subalgebras of th...
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
AbstractIn this paper, we prove some identities for the alternating sums of squares and cubes of the...
We use the q-binomial theorem to prove three new polynomial identities involving q-trinomial coecien...
The thesis discusses classical number theory problems on representations of integers by sums of two,...
Two identities required in the theory of fountains and histograms are easily proved by expanding a t...
Jacobi's four squares theorem asserts that the number of representations of a positive integer n as ...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
AbstractIn the study of partition theory and q-series, identities that relate series to infinite pro...
Abstract. We give a variety of results involving s(n), the number of representations of n as a sum o...
AbstractSome examples of naturally arising multisum q-series which turn out to have representations ...
AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences....
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