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On Scholz's reciprocity law


Author: Kenneth S. Williams
Journal: Proc. Amer. Math. Soc. 64 (1977), 45-46
MSC: Primary 10A15; Secondary 12A45
MathSciNet review: 0453618
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Abstract: An elementary proof is given of a reciprocity law proved by Scholz using class-field theory.


References [Enhancements On Off] (What's this?)

  • [1] Harvey Cohn, A second course in number theory, John Wiley & Sons, Inc., New York-London, 1962. MR 0133281
  • [2] Dennis R. Estes and Gordon Pall, Spinor genera of binary quadratic forms, J. Number Theory 5 (1973), 421–432. The arithmetical theory of quadratic forms, II (Proc. Conf., Louisiana State Univ., Baton Rouge, La., 1972; dedicated to Louis Joel Mordell). MR 0332653
  • [3] Emma Lehmer, On the quadratic character of some quadratic surds, J. Reine Angew. Math. 250 (1971), 42–48. MR 0286777
  • [4] Arnold Scholz, Über die Lösbarkeit der Gleichung $ {t^2} - D{u^2} = - 4$, Math. Z. 39 (1934), 95-111.

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DOI: https://doi.org/10.1090/S0002-9939-1977-0453618-1
Article copyright: © Copyright 1977 American Mathematical Society