Sciweavers

Share
CORR
2008
Springer

Parameterized Telescoping Proves Algebraic Independence of Sums

8 years 2 months ago
Parameterized Telescoping Proves Algebraic Independence of Sums
Usually creative telescoping is used to derive recurrences for sums. In this article we show that the non-existence of a creative telescoping solution, and more generally, of a parameterized telescoping solution, proves algebraic independence of certain types of sums. Combining this fact with summation-theory shows transcendence of whole classes of sums.
Carsten Schneider
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2008
Where CORR
Authors Carsten Schneider
Comments (0)
books