Abstract
Frobenius suggested taking Zolotarev′s Theorem, which characterises the Legendre symbol, as the definition for the Jacobi symbol. We show that the theory of quadratic residues can be further simplified by following Zolotarev′s approach to reciprocity rather than proceeding by way of Gauss′s Lemma as Frobenius and later authors have done.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
