The convergence of Euler products over p-adic number fields

Daniel Delbourgo

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1 Citation (Scopus)


We define a topological space over the p-adic numbers, in which Euler products and Dirichlet series converge. We then show how the classical Riemann zeta function has a (p-adic) Euler product structure at the negative integers. Finally, as a corollary of these results, we derive a new formula for the non-Archimedean Euler?Mascheroni constant.
Original languageEnglish
Pages (from-to)583 - 606
Number of pages24
JournalProceedings of the Edinburgh Mathematical Society
Publication statusPublished - 2009

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