A theory of counting nonintersecting lattice paths by the major index and its generalizations is developed. We obtain determinantal expressions for the corresponding generating functions for families of nonintersecting lattice paths with given starting points and given final poi…
The Rogers-Ramanujan identities can be stated either analytically or combinatorially. Each viewpoint has led to its own generalizations. On the analytic side, there is the work of Watson, Bailey, Slater, Singh, Andrews and others. On the combinatorial side is the work of Schur, …
The Rogers-Ramanujan identities can be stated either analytically or combinatorially. Each viewpoint has led to its own generalizations. On the analytic side, there is the work of Watson, Bailey, Slater, Singh, Andrews and others. On the combinatorial side is the work of Schur, …
The Rogers-Ramanujan identities can be stated either analytically or combinatorially. Each viewpoint has led to its own generalizations. On the analytic side, there is the work of Watson, Bailey, Slater, Singh, Andrews and others. On the combinatorial side is the work of Schur, …
