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math.AC2015★ 2 cited
Gröbner Bases over Algebraic Number Fields
Dereje Kifle Boku, Claus Fieker, Wolfram Decker +1
Although Buchberger's algorithm, in theory, allows us to compute Gröbner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the g…
math.AC2012★ 4 cited
The use of Bad Primes in Rational Reconstruction
Janko Boehm, Wolfram Decker, Claus Fieker +1
A standard method for finding a rational number from its values modulo a collection of primes is to determine its value modulo the product of the primes via Chinese remaindering, a…