Abstract
A classical theorem of Adams, Harris, and Switzer states that the 0th grading of complex K-theory cooperations, KU0ku, is isomorphic to the space of numerical polynomials. The space of numerical polynomials has a basis provided by the binomial coefficient polynomials, which gives a basis of KU0ku.In this paper, we produce a new p-local basis for KU0ku(p) using the Adams splitting. This basis is established by using well known formulas for the Hazewinkel generators. For p=2, we show that this new basis coincides with the classical basis modulo higher Adams filtration.
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