A \(p\)-analogue of Euler's constant and congruence zeta functions

DOI10.3792/pjaa.94.13zbMath1429.11173OpenAlexW2787180066MaRDI QIDQ1651612

Yuichiro Taguchi, Nobushige Kurokawa

Publication date: 12 July 2018

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1517454032

zbMATH Keywords

Euler constantcongruence zeta function\(p\)-analogueabsolute zeta function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (1)

Limit formulas for multiple Hurwitz zeta functions

Cites Work

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• Remarks on zeta functions and \(K\)-theory over \({\mathbb F}_1\)
• Zeta functions over \(\mathbb F_1\)
• Absolute zeta functions and the automorphy
• Dualities for absolute zeta functions and multiple gamma functions
• Schemes over 𝔽₁and zeta functions
• On 𝑞-analogues of the Euler constant and Lerch’s limit formula

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