Add to ORKGWe give another proof of the second Rogers-Ramanujan identity by Kashiwara crystals.Comment: 6 pages, a submitted versio
In this paper, we obtain certain P--Q eta--function identities, using which we establish identities ...
The aim of this paper is to give a direct interpretation of the validity of the Riemann hypothesis u...
AbstractThe best constants Cm,j of Sobolev embedding of Hm(0,a) into Cj[0,a] (0⩽j⩽m−1) are obtained....
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 the paper by Klainerman, Rodnianski and Tao \cite{Klainerman-Rodnianski-Tao}, they give a physica...
We completely determine finite abelian regular branched covers of the 2-sphere $S^2$ with the proper...
[[abstract]]We give a direct proof of a recent generating function identity of Andrews and Sellers o...
Let $K/\Q$ be a finite Galois extension, let $\chi$ be a character of the Galois group $G=\Gal(K/\Q)...
In this paper, we will prove Zhi-Wei Sun's four conjectural identities on Ap\'{e}ry-like sums involv...
On page 366 of his lost notebook [8], Ramanujan has recorded cubic continued fraction a...
Let K0 be a totally real algebraic number field. We consider an n-dimensional algebraic extension K ...
summary:In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \bi...
AbstractBailey's fundamental identity of bilateral well-poised ψ66-series is utilized to present sho...
In this paper problems 11, 16, 19–24, 39, 44, 46, 74, 75, 77, 82, and 176 from [10] are formalized a...
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−...
In this paper, we obtain certain P--Q eta--function identities, using which we establish identities ...
The aim of this paper is to give a direct interpretation of the validity of the Riemann hypothesis u...
AbstractThe best constants Cm,j of Sobolev embedding of Hm(0,a) into Cj[0,a] (0⩽j⩽m−1) are obtained....
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 the paper by Klainerman, Rodnianski and Tao \cite{Klainerman-Rodnianski-Tao}, they give a physica...
We completely determine finite abelian regular branched covers of the 2-sphere $S^2$ with the proper...
[[abstract]]We give a direct proof of a recent generating function identity of Andrews and Sellers o...
Let $K/\Q$ be a finite Galois extension, let $\chi$ be a character of the Galois group $G=\Gal(K/\Q)...
In this paper, we will prove Zhi-Wei Sun's four conjectural identities on Ap\'{e}ry-like sums involv...
On page 366 of his lost notebook [8], Ramanujan has recorded cubic continued fraction a...
Let K0 be a totally real algebraic number field. We consider an n-dimensional algebraic extension K ...
summary:In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \bi...
AbstractBailey's fundamental identity of bilateral well-poised ψ66-series is utilized to present sho...
In this paper problems 11, 16, 19–24, 39, 44, 46, 74, 75, 77, 82, and 176 from [10] are formalized a...
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−...
In this paper, we obtain certain P--Q eta--function identities, using which we establish identities ...
The aim of this paper is to give a direct interpretation of the validity of the Riemann hypothesis u...
AbstractThe best constants Cm,j of Sobolev embedding of Hm(0,a) into Cj[0,a] (0⩽j⩽m−1) are obtained....