Construction of class fields over cyclotomic fields

Cited 1 time in webofscience Cited 0 time in scopus
  • Hit : 388
  • Download : 0
Let l and p be odd primes. For a positive integer mu, let k(mu), be the ray class field of k = Q(e(2 pi i/l)) modulo 2p(mu). We present certain class fields K-mu, of k such that k(mu) subset of K mu subset of k(mu+1), and we provide a necessary and sufficient condition for K-mu = k(mu+1). We also construct, in the sense of Hilbert, primitive generators of the field K-mu over k(mu) by using Shimura's reciprocity law and special values of theta constants.
Publisher
DUKE UNIV PRESS
Issue Date
2016-12
Language
English
Article Type
Article
Keywords

COMPLEX MULTIPLICATION; EXTENSIONS; VALUES

Citation

KYOTO JOURNAL OF MATHEMATICS, v.56, no.4, pp.803 - 829

ISSN
2156-2261
DOI
10.1215/21562261-3664923
URI
http://hdl.handle.net/10203/214578
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 1 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0