Kummer set himself the task of determining whether the cyclotomic field could be generalized to include new prime numbers such that unique factorisation was restored.
22.
For larger circuits, however, factorisation becomes a difficult combinatorial problem and the final result may be impractical for both interpretation and numerical calculations.
23.
Also named in his honour is the Nikishin-Stein factorisation theorem, which is a 1970 generalization by Nikishin of the Stein factorisation theorem.
24.
Also named in his honour is the Nikishin-Stein factorisation theorem, which is a 1970 generalization by Nikishin of the Stein factorisation theorem.
25.
This has led to developments, for example in relating Wiener-Hopf factorisation to Spitzer's identity and other important results within probability theory.
26.
The first very large distributed factorisation was RSA129, a challenge number described in the Scientific American article of 1977 which first popularised the RSA cryptosystem.
27.
The original theories of outcome factorisation are probably derived from discussions at the Albach Symposium in the 1960s which were held in the honor of Erwin Schr�dinger.
28.
The basic work of abelian, the factorisation must contain non-linear factors corresponding to irreducible representations of " G " of degree > 1.
29.
One application is to give factorisations of Dedekind zeta-functions, for example in the case of a number field that is Galois over the rational numbers.
30.
In the early 90s, Brigitte Vall�e's work on small modular squares allowed her to hold the fastest factorisation algorithm with a proved probabilistic complexity bound.
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