A Variation of Takagi's Proof for Quadratic Reciprocity Laws for Jacobi Symbols

Access this Article

Search this Article

Author(s)

Abstract

It is well known that Gauss has found the first complete proof of quadratic reciprocity laws in [2] (1801) and many different proofs for quadratic reciprocity laws of Legendre symbols have been published after then (see for example Appendix B of Lemmermeyer's text [11]). In this paper, we shall write down a visual proof of quadratic reciprocity laws for Jacobi symbols depending on Schering's generalization of Gauss's lemma.

Journal

  • Journal of mathematics, the University of Tokushima

    Journal of mathematics, the University of Tokushima (43), 9-23, 2009-12

    The University of Tokushima

Codes

  • NII Article ID (NAID)
    110007492238
  • NII NACSIS-CAT ID (NCID)
    AA11595324
  • Text Lang
    ENG
  • Article Type
    departmental bulletin paper
  • ISSN
    1346-7387
  • Data Source
    NII-ELS  IR 
Page Top