11. The "'local reciprocity law "'describes a canonical isomorphism 12. Despite his health, Eisenstein continued writing papers on quadratic partitions of prime numbers and the reciprocity laws . 13. Lemmermeyer states that there has been an explosion of interest in the rational reciprocity laws since the 1970s. 14. Her publications were mainly in number theory and computation, with emphasis on reciprocity laws , special primes, and congruences. 15. The latter dependence follows a reciprocity law , meaning that dislocations images become narrower inversely as the angular distance grows. 16. Therefore, the Artin reciprocity law can be interpreted as one of the main theorems of global class field theory. 17. But we are not supposed to use the Gaussian reciprocity law , only the Legendre symbol and some of its basic properties. 18. New York's governor, George E . Pataki, proposed a reciprocity law this year, but it failed to clear the state Legislature. 19. It combines with Pontryagin duality to give a clearer if more abstract formulation of the central result, the Artin reciprocity law . 20. Has many proofs ( some in exercises ) of both quadratic and higher-power reciprocity laws and a discussion of their history.
