We prove a new q analogue of Nicomachus’s theorem about the sum of cubes and some related results. 1
A simple proof of a special case is presented in Waring’s problem on sums of 13 cubes localized clos...
This report is concerned about q-series and some of their applications. Firstly, Jacobi’s q-series p...
Abstract. We establish that, for almost all natural numbers N, there is a sum of two positive integr...
We give a combinatorial proof of a q-analogue of the classical formula for the sum of cubes.
We give a combinatorial proof of a q-analogue of the classical formula for the sum of cubes.
AbstractA new q-analogue of the sum of cubes is given with a combinatorial interpretation on the lat...
We give a combinatorial proof of a q-analogue of the classical formula for the sum of cubes
We have all heard the taxicab story featuring GH Hardy and S Ramanujan, but we may not know that ...
AbstractIn this paper, we prove some identities for the alternating sums of squares and cubes of the...
Knowledge about historical mathematics, nested patterns, number theory and representations of number...
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
Abstract. An intrinsic characterization of positive integers which can be represented as the sum or ...
We consider a $q$-analog $r_2(n, q)$ of the number of representations of an integer as a sum of two ...
Memorization is often the primary skill exercised when learning algebraic identities. Small wonder ...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
A simple proof of a special case is presented in Waring’s problem on sums of 13 cubes localized clos...
This report is concerned about q-series and some of their applications. Firstly, Jacobi’s q-series p...
Abstract. We establish that, for almost all natural numbers N, there is a sum of two positive integr...
We give a combinatorial proof of a q-analogue of the classical formula for the sum of cubes.
We give a combinatorial proof of a q-analogue of the classical formula for the sum of cubes.
AbstractA new q-analogue of the sum of cubes is given with a combinatorial interpretation on the lat...
We give a combinatorial proof of a q-analogue of the classical formula for the sum of cubes
We have all heard the taxicab story featuring GH Hardy and S Ramanujan, but we may not know that ...
AbstractIn this paper, we prove some identities for the alternating sums of squares and cubes of the...
Knowledge about historical mathematics, nested patterns, number theory and representations of number...
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
Abstract. An intrinsic characterization of positive integers which can be represented as the sum or ...
We consider a $q$-analog $r_2(n, q)$ of the number of representations of an integer as a sum of two ...
Memorization is often the primary skill exercised when learning algebraic identities. Small wonder ...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
A simple proof of a special case is presented in Waring’s problem on sums of 13 cubes localized clos...
This report is concerned about q-series and some of their applications. Firstly, Jacobi’s q-series p...
Abstract. We establish that, for almost all natural numbers N, there is a sum of two positive integr...