Determination of the Number of Ideal Classes in the Cyclotomic Field of the m-th Roots of Unity

David Hilbert

Chapter 26 in The Theory of Algebraic Number Fields, 1998, pp 207-215 from Springer

Abstract: Abstract In order to apply the transcendental method described in Sect. 26 for finding the class number of a field to the case of the cyclotomic field k(e 2πi/m ) where m is a rational integer we introduce first the following symbols.

Keywords: Prime Number; Prime Divisor; Class Number; Great Common Divisor; Primitive Root (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-3-662-03545-0_26

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