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arXiv 2003-04-26 0 views

Möbius function of coordinate hyperplanes in complex ellipsoids

Jarnicki, Witold

Original · EN

For p₁,...,pₙ>0, let E={zⁿ:∑ⱼ₌₁ⁿ|zⱼ|²ᵖʲ<1} be a complex ellipsoid. We present effective formulas for the generalized Möbius and Green functions mₑ(A,·), gₑ(A,·) in the case where A:={z:z₁·...· zₖ=0} (1≤ k≤ n).

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