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J.Ritt [1] has investigated the structure of complex polynomials with respect to superposition.
The polynomial P(x) is said to be indecomposable iff the representation P = P1 ◦ P2 means that
e...
Hilbert series of PI relatively free G-graded algebras are rational functions
free G-graded algebras rational functions
2010/11/19
Let G be a finite group, (g_{1},...,g_{r}) an (unordered) r-tuple of G^{(r)} and x_{i,g_i}'s variables that correspond to the g_i's, i=1,...,r. Let F be the corresponding free...
Complexity of Creative Telescoping for Bivariate Rational Functions
Hermite reduction creative telescoping
2013/9/3
The long-term goal initiated in this work is to obtain fast algorithms and implementations for definite integration in Almkvist and Zeilberger’s framework of (differential) creative telescoping. Our c...
INTRODUCTION.Itisthepurposeofthispapertopresentsomeresults,ontheproblemofinterpolationandapproximationtoafunctiouf(z),analyticonaclosedlimitedpointsetEinthecomplexz-planewhosecomplementKisconnectedand...