The Wills conjecture

Rogers - Ramanujan and the Baker - Gammel - Wills ( Padé ) conjecture

In 1961, Baker, Gammel and Wills conjectured that for functions f meromorphic in the unit ball, a subsequence of its diagonal Padé approximants converges uniformly in compact subsets of the ball omitting poles of f . There is also apparently a cruder version of the conjecture due to Padé himself, going back to the early twentieth century. We show here that for carefully chosen q on the unit cir...

Reflections on the Baker-Gammel-Wills (Padé) Conjecture

In 1961, Baker, Gammel and Wills formulated their famous conjecture that if a function f is meromorphic in the unit ball, and analytic at 0, then a subsequence of its diagonal Padé approximants converges uniformly in compact subsets to f . This conjecture was disproved in 2001, but it generated a number of related unresolved conjectures. We review their status.

Conjectures Around the Baker – Gammel – Wills Conjecture : Research Problems 97 - 2

The Baker–Gammel-Wills Conjecture states that if a function f is meromorphic in a unit disk D, then there should, at least, exist an infinite subsequence N ⊆ N such that the subsequence of diagonal Padé approximants to f developed at the origin with degrees contained in N converges to f locally uniformly in D/{poles of f }. Despite the fact that this conjecture may well be false in the general ...

Dispensing with Wills' Act Formalities for Substantively Valid Wills

The House That Wills' Built

A discussion of the contribution made by David Wills to the residential care of young people prompted by his book on the Reynolds House experiment.