1. Vermulst admitted that major countries can promulgate reciprocity laws counteract dumping protests. 2. Artin's reciprocity law implies a description of the nonarchimedean places in them. 3. There is a rational reciprocity law for 8th powers, due to Williams. 4. On 8 April he became the first to prove the quadratic reciprocity law . 5. As an example, there are rational biquadratic and octic reciprocity laws . 6. The precise correspondence between these different kinds of L-functions constitutes Artin's reciprocity law . 7. Explicit formulas for this are sometimes called explicit reciprocity laws . 8. There are several different ways to express reciprocity laws . 9. The class field theory project included the'higher reciprocity laws '( cubic reciprocity ) and so on. 10. Its immense bibliography includes literature citations for 196 different published proofs for the quadratic reciprocity law .