Displaying similar documents to “Some results about Beurling algebras with applications to operator theory”

Irrationality of quick convergent series

Jaroslav Hančl (1996)

Journal de théorie des nombres de Bordeaux


We generalize a previous result due to Badea relating to the irrationality of some quick convergent infinite series.

On the power-series expansion of a rational function

D. V. Lee (1992)

Acta Arithmetica


Introduction. The problem of determining the formula for P S ( n ) , the number of partitions of an integer into elements of a finite set S, that is, the number of solutions in non-negative integers, h s , . . . , h s k , of the equation hs₁ s₁ + ... + hsk sk = n, was solved in the nineteenth century (see Sylvester [4] and Glaisher [3] for detailed accounts). The solution is the coefficient of x i n [(1-xs₁)... (1-xsk)]-1, expressions for which they derived. Wright [5] indicated a simpler method by which to find part...