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JSC
2006
85views more  JSC 2006»
13 years 11 months ago
SumCracker: A package for manipulating symbolic sums and related objects
We describe a new software package, named SumCracker, for proving and finding identities involving symbolic sums and related objects. SumCracker is applicable to a wide range of e...
Manuel Kauers
JSC
2006
81views more  JSC 2006»
13 years 11 months ago
Complexity bounds for zero-test algorithms
In this paper, we analyze the complexity of a zero test for expressions built from formal power series solutions of first order differential equations with non degenerate initial ...
Joris van der Hoeven, John Shackell
JSC
2006
102views more  JSC 2006»
13 years 11 months ago
Counterexamples to witness conjectures
Consider the class of exp-log constants, which is constructed from the integers using the field operations, exponentiation and logarithm. Let z be such an exp-log constant and let...
Joris van der Hoeven
JSC
2006
64views more  JSC 2006»
13 years 11 months ago
Computing the support of local cohomology modules
For a polynomial ring R = k[x1, ..., xn], we present a method to compute the characteristic cycle of the localization Rf for any nonzero polynomial f R that avoids a direct comput...
Josep Àlvarez Montaner, Anton Leykin
JSC
2006
97views more  JSC 2006»
13 years 11 months ago
Improving the DISPGB algorithm using the discriminant ideal
In 1992, V. Weispfenning proved the existence of Comprehensive Gr
Montserrat Manubens, Antonio Montes
JSC
2006
73views more  JSC 2006»
13 years 11 months ago
Algorithmic methods for investigating equilibria in epidemic modeling
Christopher W. Brown, M'hammed El Kahoui, Dominik ...
JSC
2006
122views more  JSC 2006»
13 years 11 months ago
An automated prover for Zermelo-Fraenkel set theory in Theorema
This paper presents some fundamental aspects of the design and the implementation of an automated prover for Zermelo-Fraenkel set theory within the well-known Theorema system. The...
Wolfgang Windsteiger
JSC
2006
147views more  JSC 2006»
13 years 11 months ago
An algorithm to solve integer linear systems exactly using numerical methods
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
Zhendong Wan
JSC
2006
53views more  JSC 2006»
13 years 11 months ago
Resultants of partially composed polynomials
Manfred Minimair