Titlebook: Algorithmic Number Theory; Third International Joe P. Buhler Conference proceedings 1998 Springer-Verlag Berlin Heidelberg 1998 Analysis.P

erythema

接合

COM

,Parallel implementation of Sch?nhage’s integer GCD algorithm,s implemented in ., a computer algebra library for parallel symbolic computation we have developed..Sch?nhage‘s parallel algorithm is analyzed by using a message-passing model of computation. Experimental results on distributed memory architectures, such as the Intel Paragon, confirm the analysis.

半圓鑿

The complete analysis of the binary Euclidean algorithm,l analysis of the number of steps, based on a heuristic model and some unproven conjecture. Our methods are quite different, not relying on heuristic hypothesis or conjecture, and more general, since they allow us to study all the parameters of the binary continued fraction expansion.

軍械庫

,Cyclotomy primality proving — Recent developments, an overview of cyclotomy from the perspective of the recent research and implementation. We also discuss the drawbacks of the algorithm — the overpolynomial run time and lack of certificates — and mention some open problems which may lead to future improvements.

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cancellous-bone

0302-9743 , Oregon, USA, in June 1998..The volume presents 46 revised full papers together with two invited surveys. The papers are organized in chapters on gcd algorithms, primality, factoring, sieving, analytic number theory, cryptography, linear algebra and lattices, series and sums, algebraic number field

巨碩

hidebound

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