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We construct a Lax pair for the E 6 (1) q-Painlev´ e system from first principles by employing the general theory of semi-classical orthogonal polynomial systems characterised

W ang , Global bifurcation and exact multiplicity of positive solu- tions for a positone problem with cubic nonlinearity and their applications Trans.. H uang , Classification

It is suggested by our method that most of the quadratic algebras for all St¨ ackel equivalence classes of 3D second order quantum superintegrable systems on conformally flat

Next, we prove bounds for the dimensions of p-adic MLV-spaces in Section 3, assuming results in Section 4, and make a conjecture about a special element in the motivic Galois group

Transirico, “Second order elliptic equations in weighted Sobolev spaces on unbounded domains,” Rendiconti della Accademia Nazionale delle Scienze detta dei XL.. Memorie di

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

Definition An embeddable tiled surface is a tiled surface which is actually achieved as the graph of singular leaves of some embedded orientable surface with closed braid

0.1. Additive Galois modules and especially the ring of integers of local fields are considered from different viewpoints. Leopoldt [L] the ring of integers is studied as a module