Displaying similar documents to “A note on the minimality problem in indefinite summation of rational functions.”

Diagonal series of rational functions (several variables)

Sławomir Cynk, Piotr Tworzewski (1994)

Annales Polonici Mathematici

Similarity:

We give representations of Nash functions in a neighbourhood of a polydisc (torus) in ℂ m as diagonal series of rational functions in a neighbourhood of a polydisc (torus) in ℂ m + 1 .

Factoring polynomials over global fields

Karim Belabas, Mark van Hoeij, Jürgen Klüners, Allan Steel (2009)

Journal de Théorie des Nombres de Bordeaux

Similarity:

We prove that van Hoeij’s original algorithm to factor univariate polynomials over the rationals runs in polynomial time, as well as natural variants. In particular, our approach also yields polynomial time complexity results for bivariate polynomials over a finite field.

On Garcia numbers.

Brunotte, Horst (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Similarity:

Diagonal series of rational functions

Sławomir Cynk, Piotr Tworzewski (1991)

Annales Polonici Mathematici

Similarity:

Some representations of Nash functions on continua in ℂ as integrals of rational functions of two complex variables are presented. As a simple consequence we get close relations between Nash functions and diagonal series of rational functions.

Collective Operations on Number-Membered Sets

Artur Korniłowicz (2009)

Formalized Mathematics

Similarity:

The article starts with definitions of sets of opposite and inverse numbers of a given number membered set. Next, collective addition, subtraction, multiplication and division of two sets are defined. Complex numbers cases and extended real numbers ones are introduced separately and unified for reals. Shortcuts for singletons cases are also defined.