Denominators of special values of \(\zeta\)-functions count \(KU\)-local homotopy groups of mod \(p\) Moore spectra

DOI10.1216/rmj.2023.53.915zbMath1528.11077arXiv2303.09550OpenAlexW4385146540MaRDI QIDQ6134925

Andrew Salch

Publication date: 23 August 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.09550

zbMATH Keywords

\(L\)-functionsalgebraic topologyspecial valuesstable homotopyspecial values of \(L\)-functionsBousfield localizationLeopoldt conjecturealgebraic number theorystable homotopy groupsspecial values of zeta-functionsDedekind zeta-functions\(p\)-adic regulators

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Stable homotopy groups (55Q10) Stable homotopy of spheres (55Q45) (v_n)-periodicity (55Q51)

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