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Sept. 2000 A note on the Demjanenko matrices related to the cyclotomic $\mathbf {Z}_p$-extension
Hirofumi Tsumura
Proc. Japan Acad. Ser. A Math. Sci. 76(7): 99-103 (Sept. 2000). DOI: 10.3792/pjaa.76.99

Abstract

In this note, we define the Demjanenko matrices related to the cyclotomic $\mathbf{Z}_p$-extension, which can be regarded as generalization of the ordinary Demjanenko matrices. As a special case, we generalize the Maillet determinant defined by Girstmair.

Citation

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Hirofumi Tsumura. "A note on the Demjanenko matrices related to the cyclotomic $\mathbf {Z}_p$-extension." Proc. Japan Acad. Ser. A Math. Sci. 76 (7) 99 - 103, Sept. 2000. https://doi.org/10.3792/pjaa.76.99

Information

Published: Sept. 2000
First available in Project Euclid: 23 May 2006

zbMATH: 0965.11044
MathSciNet: MR1785633
Digital Object Identifier: 10.3792/pjaa.76.99

Subjects:
Primary: 11R20 , 11R23

Keywords: $\mathbf {Z}_p$-extensions , Demjanenko matrices , Maillet determinants

Rights: Copyright © 2000 The Japan Academy

Vol.76 • No. 7 • Sept. 2000
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