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Published in:
The Genesis of Quadratic Reciprocity Read chapter Read first chapter

2000 | OriginalPaper | Chapter

Cubic Reciprocity

Author : Franz Lemmermeyer

Published in: Reciprocity Laws

Publisher: Springer Berlin Heidelberg

Included in: Professional Book Archive

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The cubic reciprocity law can be studied in the same way as quartic reciprocity; both laws live in imaginary quadratic number fields with a finite number of units. We will proceed exactly as in the quartic case: first we study connections with the splitting of primes in certain cubic cyclic extensions, and then we use cubic Gauss and Jacobi sums to derive the cubic reciprocity law (expressed less euphemistically: this chapter won’t contain any new ideas — we just compute).

previous chapter Quartic Reciprocity
next chapter Eisenstein’s Analytic Proofs
Metadata
Title
Cubic Reciprocity
Author
Franz Lemmermeyer
Copyright Year
2000
Publisher
Springer Berlin Heidelberg
Book
Reciprocity Laws

Print ISBN: 978-3-642-08628-1

Electronic ISBN: 978-3-662-12893-0

Copyright Year: 2000

DOI
https://doi.org/10.1007/978-3-662-12893-0_7

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