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On derivatives of p-adic L-series at s = 0

  • David Burns EMAIL logo

Abstract

We use techniques of non-commutative Iwasawa theory to investigate the values at zero of higher derivatives of p-adic Artin L-series.

Acknowledgements

This article is an updated version of a preprint (with the same title) that was posted on the web in 2011. I am grateful to Masato Kurihara, Mahesh Kakde and Takamichi Sano for some very interesting discussions. I am also very grateful to the referee for advise concerning previous results in the literature.

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Received: 2017-11-17
Revised: 2018-06-25
Published Online: 2018-10-11
Published in Print: 2020-05-01

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