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Asymptotics of class number and genus for abelian extensions of an algebraic function field

โœ Scribed by Kenneth Ward


Book ID
116673107
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
154 KB
Volume
132
Category
Article
ISSN
0022-314X

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Let k be a real abelian number field with Galois group 2 and p an odd prime number. Denote by k the cyclotomic Z p -extension of k with Galois group 1 and by k n the nth layer of k ร‚k. Assume that the order of 2 is prime to p and that p splits completely in kร‚Q. In this article, we describe the orde