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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