Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

Note on a result of Kaplan


Author: Kenneth S. Williams
Journal: Proc. Amer. Math. Soc. 56 (1976), 34-36
MathSciNet review: 0398957
Full-text PDF Free Access

Abstract | References | Additional Information

Abstract: A simple proof is given of a congruence (due to Kaplan) involving the number of solutions of a certain biquadratic congruence.


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

  • [1] Helmut Hasse, Vorlesungen über Zahlentheorie, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksightigung der Anwendungsgebiete. Band LIX, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1950 (German). MR 0051844
  • [2] Pierre Kaplan, Démonstration des lois de réciprocité quadratique et biquadratique, J. Fac. Sci. Univ. Tokyo Sect. I 16 (1969), 115–145 (French). MR 0257028


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0398957-7
Keywords: Biquadratic congruences, biquadratic residue character, Gauss and Jacobi sums
Article copyright: © Copyright 1976 American Mathematical Society