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RTA
2010
Springer
13 years 6 months ago
Polynomial Interpretations over the Reals do not Subsume Polynomial Interpretations over the Integers
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. They come in various flavors: polynomial interpretations with real, rational and...
Friedrich Neurauter, Aart Middeldorp
CMA
2010
183views more  CMA 2010»
13 years 4 months ago
Ramanujan's class invariants and their use in elliptic curve cryptography
Complex Multiplication (CM) method is a frequently used method for the generation of elliptic curves (ECs) over a prime field Fp. The most demanding and complex step of this metho...
Elisavet Konstantinou, Aristides Kontogeorgis
MOC
2002
149views more  MOC 2002»
13 years 7 months ago
Sparse squares of polynomials
We answer a question left open in an article of Coppersmith and Davenport which proved the existence of polynomials whose powers are sparse, and in particular polynomials whose squ...
John Abbott
CADE
1992
Springer
13 years 11 months ago
Polynomial Interpretations and the Complexity of Algorithms
The ability to use a polynomial iterpretation to prove termination of a rewrite system naturally prompts the question as to what restriction on complexity this imposes. The main r...
Adam Cichon, Pierre Lescanne
STACS
2009
Springer
14 years 6 days ago
Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties
We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials ...
Mahdi Cheraghchi, Amin Shokrollahi