This produces significant advantages in situations where the behavior at one place can affect the behavior at other places, as in the Artin reciprocity law.
32.
But that may not last; distributors and legislators in some of those states are working to repeal the reciprocity laws, as Maine did last year.
33.
The fact that the sum of all local invariants of a central simple algebra over " K " is zero is a typical reciprocity law.
34.
For example, excellent reciprocity law is not an inherent property of tabular crystals but rather the result of other techniques introduced at about the same time.
35.
It forms the starting point in his formulation of the reciprocity law, where an important role is played by certain arithmetically defined "'special points " '.
36.
Several hypersensitization or " hypering " techniques have been developed to overcome this failure of the reciprocity law, and what follows refers mainly to work in astronomy.
37.
Gives a historical discussion of some early reciprocity laws, including a proof of Eisenstein's law using Gauss and Jacobi sums that is based on Eisenstein's original proof.
38.
While in Breslau, Dirichlet continued his number theoretic research, publishing important contributions to the biquadratic reciprocity law which at the time was a focal point of Gauss's research.
39.
For more general number fields, class field theory, specifically the Artin reciprocity law gives an answer by describing " G " ab in terms of the idele class group.
40.
The Artin reciprocity law, which is a high level generalisation of the Gauss quadratic reciprocity law, states that the product vanishes on the multiplicative group of the number field.
