On Scholz’s reciprocity law
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- by Kenneth S. Williams PDF
- Proc. Amer. Math. Soc. 64 (1977), 45-46 Request permission
Abstract:
An elementary proof is given of a reciprocity law proved by Scholz using class-field theory.References
- Harvey Cohn, A second course in number theory, John Wiley & Sons, Inc., New York-London, 1962. MR 0133281
- Dennis R. Estes and Gordon Pall, Spinor genera of binary quadratic forms, J. Number Theory 5 (1973), 421–432. MR 332653, DOI 10.1016/0022-314X(73)90012-7
- Emma Lehmer, On the quadratic character of some quadratic surds, J. Reine Angew. Math. 250 (1971), 42–48. MR 286777, DOI 10.1515/crll.1971.250.42 Arnold Scholz, Über die Lösbarkeit der Gleichung ${t^2} - D{u^2} = - 4$, Math. Z. 39 (1934), 95-111.
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 64 (1977), 45-46
- MSC: Primary 10A15; Secondary 12A45
- DOI: https://doi.org/10.1090/S0002-9939-1977-0453618-1
- MathSciNet review: 0453618