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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 469, Pages 151–159
(Mi znsl6604)
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This article is cited in 2 scientific papers (total in 2 papers)
Kummer's tower and big zeta-functions
A. L. Smirnov St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
The statement of the problem to construct a big zeta function is discussed. This problem is related to an arithmetic Hurwitz formula. Two pretenders to play the role of the big zeta are suggested. Representations and ramification structures, related to Kummer's tower, are studied.
Key words and phrases:
arithmetic Hurwitz formula, big zeta-function, Wieferich.
Received: 01.09.2018
Citation:
A. L. Smirnov, “Kummer's tower and big zeta-functions”, Algebra and number theory. Part 1, Zap. Nauchn. Sem. POMI, 469, POMI, St. Petersburg, 2018, 151–159; J. Math. Sci. (N. Y.), 242:4 (2019), 568–574
Linking options:
https://www.mathnet.ru/eng/znsl6604 https://www.mathnet.ru/eng/znsl/v469/p151
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Abstract page: | 197 | Full-text PDF : | 86 | References: | 33 |
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