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AN EFFECTIVE BOUND FOR THE CYCLOTOMIC LOXTON–KEDLAYA RANK

Published online by Cambridge University Press:  20 March 2017

CONSTANTIN N. BELI ,
FLORIN STAN  and
ALEXANDRU ZAHARESCU
CONSTANTIN N. BELI
Affiliation:
Simion Stoilow Institute of Mathematics of the Romanian Academy, Research unit 5, P. O. Box 1-764, RO-014700 Bucharest, Romania e-mails: raspopitu1@yahoo.com, Beli.Constantin@imar.ro, sfloringabriel@yahoo.com
FLORIN STAN
Affiliation:
Simion Stoilow Institute of Mathematics of the Romanian Academy, Research unit 5, P. O. Box 1-764, RO-014700 Bucharest, Romania e-mails: raspopitu1@yahoo.com, Beli.Constantin@imar.ro, sfloringabriel@yahoo.com
ALEXANDRU ZAHARESCU
Affiliation:
Simion Stoilow Institute of Mathematics of the Romanian Academy, Research unit 5, P. O. Box 1-764, RO-014700 Bucharest, Romania Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, IL, 61801, USA e-mail: zaharesc@math.uiuc.edu
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Abstract

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In this paper, we provide an explicit upper bound for the Loxton–Kedlaya rank of the maximal abelian extension of ℚ.

Keywords

11R1811R06
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 60 , Issue 1 , January 2018 , pp. 97 - 110
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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