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2012 | 60 | 1 | 1-19
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Gauss Sums of Cubic Characters over $饾斀_{p^r}$, p Odd

Tre艣膰 / Zawarto艣膰
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Abstrakty
EN
An elementary approach is shown which derives the values of the Gauss sums over $饾斀_{p^r}$, p odd, of a cubic character. New links between Gauss sums over different field extensions are shown in terms of factorizations of the Gauss sums themselves, which are then revisited in terms of prime ideal decompositions. Interestingly, one of these results gives a representation of primes p of the form 6k+1 by a binary quadratic form in integers of a subfield of the cyclotomic field of the pth roots of unity.
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Tw贸rcy
  • Institute of Mathematics, University of Z眉rich, Z眉rich, Switzerland
autor
  • Department of Electronics, Politecnico di Torino, 10129 Torino, Italy
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-1-1
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