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The growth of CM periods over false tate extensions
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Delbourgo, Daniel and Ward, Thomas (2010) The growth of CM periods over false tate extensions. Experimental Mathematics, Volume 19 (Number 2). pp. 195-210. doi:10.1080/10586458.2010.10129075 ISSN 1944-950X.
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Official URL: http://dx.doi.org/10.1080/10586458.2010.10129075
Abstract
We prove weak forms of Kato's K1-congruences for elliptic curves with complex multiplication, subject to two technical hypotheses. We next use MAGMA to calculate the µ-invariant measuring the discrepancy between the "motivic" and "automorphic" p-adic L-functions. Via the two-variable main conjecture, one can then estimate growth in this µ-invariant using arithmetic of the 2 p -extension.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Experimental Mathematics | ||||
Publisher: | Taylor & Francis | ||||
ISSN: | 1944-950X | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Volume 19 | ||||
Number: | Number 2 | ||||
Page Range: | pp. 195-210 | ||||
DOI: | 10.1080/10586458.2010.10129075 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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