On the Kummer Congruences and the Stable Homotopy of BU

DOI10.2307/2001355zbMath0709.55012OpenAlexW4231993586WikidataQ29396965 ScholiaQ29396965MaRDI QIDQ3492406

Lionel Schwartz, Andrew Baker, Nigel Ray, Francis Clarke

Publication date: 1989

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001355

zbMATH Keywords

Bernoulli numbersstable homotopye-invariantHurewitz homomorphismKummer's congruencesK-theoretic cooperationsstable numerical polynomialssymmetric numerical polynomials

Mathematics Subject Classification ID

Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items (14)

Algebraic properties of stably numerical polynomials ⋮ \(\mathcal {E}_\infty \) ring spectra and elements of Hopf invariant 1 ⋮ The double complex transfer at the prime 2 ⋮ The Lazard formal group, universal congruences and special values of zeta functions ⋮ Stable Homotopy Theory, Formal Group Laws, and Integer-Valued Polynomials ⋮ Algorithms for computing bases for 3-variable homogeneous integer-valued polynomials ⋮ Hyperfunctions, formal groups and generalized Lipschitz summation formulas ⋮ Building Three-Variable Homogeneous Integer-Valued Polynomials Using Generalized Projective Planes ⋮ Quelques éléments dans l'homotopie stable du groupe unitaire ⋮ Beyond the Shannon-Khinchin formulation: the composability axiom and the universal-group entropy ⋮ On Appell sequences of polynomials of Bernoulli and Euler type ⋮ Universal Kummer congruences mod prime powers ⋮ Universal higher order Bernoulli numbers and Kummer and related congruences ⋮ Modular representations of \(GL(n,p)\), splitting \(\Sigma(CP^{\infty} \times \dots \times CP^{\infty})\) and the \(\beta\)-family as framed hypersurfaces

This page was built for publication: On the Kummer Congruences and the Stable Homotopy of BU