Zeta functions of generalized permutations with application to their factorization formulas

DOI10.3792/pjaa.88.115zbMath1275.11126OpenAlexW2080603774MaRDI QIDQ1931917

Sachiko Nakajima, Shin-ya Koyama

Publication date: 16 January 2013

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1349355141

zbMATH Keywords

zeta functionsabsolute mathematicsgeneralized permutation groupsthe field with one element

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)

Related Items (1)

Ruelle zeta functions for finite digraphs

Cites Work

• The Riemann hypothesis and functional equations for zeta functions over \(\mathbb F_1\)
• Representations of the generalized symmetric groups
• The Schur Multiplier of the Generalized Symmetric Group

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