Kummer’s Tower and Big Zeta Functions
- Authors: Smirnov A.L.1
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Affiliations:
- St. Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 242, No 4 (2019)
- Pages: 568-574
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243002
- DOI: https://doi.org/10.1007/s10958-019-04496-3
- ID: 243002
Cite item
Abstract
The paper discusses the statement of the problem of constructing a big zeta function. This problem is related to an arithmetic Hurwitz formula. Two candidates for the part of the big zeta are suggested. Representations and ramification structures related to Kummer’s tower are studied.
About the authors
A. L. Smirnov
St. Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: smirnov@pdmi.ras.ru
Russian Federation, St. Peterburg