Möbius function of coordinate hyperplanes in complex ellipsoids
Abstract
For $p_1,...,p_n>0$, let $\mathbb E=\{z\in\mathbb C^n:\sum_{j=1}^n|z_j|^{2p_j}<1\}$ be a complex ellipsoid. We present effective formulas for the generalized Möbius and Green functions $m_{\mathbb E}(A,\cdot)$, $g_{\mathbb E}(A,\cdot)$ in the case where $A:=\{z\in\mathbb E:z_1\cdot...\cdot z_k=0\}$ ($1\leq k\leq n$).
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- April 2003
- DOI:
- 10.48550/arXiv.math/0304421
- arXiv:
- arXiv:math/0304421
- Bibcode:
- 2003math......4421J
- Keywords:
-
- Complex Variables;
- 32F45;
- 32U35
- E-Print:
- 9 pages