Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On Yamamoto’s reciprocity law
HTML articles powered by AMS MathViewer

by Kenneth S. Williams PDF
Proc. Amer. Math. Soc. 111 (1991), 607-609 Request permission

Abstract:

A simple proof of Yamamoto’s reciprocity law is given.
References
  • Ezra Brown, Class numbers of quadratic fields, Symposia Mathematica, Vol. XV (Convegno di Strutture in Corpi Algebrici, INDAM, Rome, 1973) Academic Press, London, 1975, pp. 403–411. MR 0382226
  • J. Bucher, Neues über die Pell’sche Gleichung, Mitt. Naturforsch. Ges. Luzern 14 (1943), 1–18 (German). MR 21551
  • P.G.L. Dirichlet, Einige neue Sätze über unbestimmte Gleichungen, Abh. Königlich Preussischen Akad. Wiss. 1834, pp. 649-664.
  • Pierre Kaplan, Divisibilité par $8$ du nombre des classes des corps quadratiques dont le $2$-groupe des classes est cyclique, et réciprocité biquadratique, J. Math. Soc. Japan 25 (1973), 596–608 (French). MR 323757, DOI 10.2969/jmsj/02540596
  • Yoshihiko Yamamoto, Congruences modulo $2^i$ $(i=3,4)$ for the class numbers of quadratic fields, Proceedings of the international conference on class numbers and fundamental units of algebraic number fields (Katata, 1986) Nagoya Univ., Nagoya, 1986, pp. 205–215. MR 891897
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 11A15, 11R11, 11R29
  • Retrieve articles in all journals with MSC: 11A15, 11R11, 11R29
Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 607-609
  • MSC: Primary 11A15; Secondary 11R11, 11R29
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1047009-X
  • MathSciNet review: 1047009