On adelic Hurwitz zeta measures. (English) Zbl 1467.11110
In this article, the authors construct a \(\hat{\mathbb{Z}}\)-valued measure on \(\hat{\mathbb{Z}}\) which interpolates \(p\)-adic Hurwitz zeta functions for all \(p\). For that end, they use a geometrical interpretation of the translation of a measure and a consequence of the inversion formula.
Reviewer: Mouad Moutaoukil (Fès)
MSC:
| 11S40 | Zeta functions and \(L\)-functions |
| 11G55 | Polylogarithms and relations with \(K\)-theory |
| 11F80 | Galois representations |
| 11R23 | Iwasawa theory |
| 14H30 | Coverings of curves, fundamental group |
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